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	<title>OScience.info &#187; The Derivative.</title>
	<atom:link href="http://oscience.info/mathematics/the-derivative/feed/" rel="self" type="application/rss+xml" />
	<link>http://oscience.info</link>
	<description>The ultimate resource for Science and Technology</description>
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	<item>
		<title>Derivatives of Logarithmic and Exponential functions.</title>
		<link>http://oscience.info/mathematics/derivatives-of-logarithmic-and-exponential-functions/</link>
		<comments>http://oscience.info/mathematics/derivatives-of-logarithmic-and-exponential-functions/#comments</comments>
		<pubDate>Fri, 07 Jan 2011 16:02:37 +0000</pubDate>
		<dc:creator>subash</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[The Derivative.]]></category>

		<guid isPermaLink="false">http://oscience.info/?p=524</guid>
		<description><![CDATA[Exponential functions are the function which are defined in the form of: f(x)=ax , where a is a constant and &#8220;x&#8221; is a variable. The function &#8220;f(x) = ax&#8220; is called an exponential function in base &#8220;a&#8221;. The logarithmic functions are the inverse function of exponential function. Or , if &#8221; y = f(x) = [...]]]></description>
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		<title>Derivatives of inverse trigonometric functions</title>
		<link>http://oscience.info/mathematics/derivatives-of-inverse-trigonometric-functions/</link>
		<comments>http://oscience.info/mathematics/derivatives-of-inverse-trigonometric-functions/#comments</comments>
		<pubDate>Tue, 04 Jan 2011 13:01:58 +0000</pubDate>
		<dc:creator>subash</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[The Derivative.]]></category>

		<guid isPermaLink="false">http://oscience.info/?p=504</guid>
		<description><![CDATA[Inverse trigonometric functions  are the  inverse of trigonometric functions . For example if, y = sinx  then the inverse function of y = sinx is , is denoted by: x=sin-1y and is called inverse sin function. You should note that: doesn&#8217;t means instead &#8220;y = sin -1 x&#8221; is the inverse function of &#8220;x = [...]]]></description>
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		<title>Derivatives of  Trigonometric functions.</title>
		<link>http://oscience.info/mathematics/derivatives-of-trigonometric-functions/</link>
		<comments>http://oscience.info/mathematics/derivatives-of-trigonometric-functions/#comments</comments>
		<pubDate>Wed, 08 Dec 2010 08:49:23 +0000</pubDate>
		<dc:creator>subash</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[The Derivative.]]></category>

		<guid isPermaLink="false">http://oscience.info/?p=379</guid>
		<description><![CDATA[As you know,

The functions SINE x(sin x) , CO-SECANT x(cos x) , TANGENT x(tan x), CO-SECANT x(csc x), SECANT x(sec x) and COTANGENT x(cot x)  are called trigonometrical functions.

You can learn more about these functions by searching about it in the search box above.

We are going to learn and prove ,what are the Derivatives of these Trigonometrical Functions, here.]]></description>
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	<item>
		<title>Infinitesimals and Differentials.</title>
		<link>http://oscience.info/mathematics/infinitesimals-and-differentials/</link>
		<comments>http://oscience.info/mathematics/infinitesimals-and-differentials/#comments</comments>
		<pubDate>Tue, 23 Nov 2010 16:57:20 +0000</pubDate>
		<dc:creator>subash</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[The Derivative.]]></category>

		<guid isPermaLink="false">http://oscience.info/?p=373</guid>
		<description><![CDATA[What is Infinitesimals and Differentials.   
A complete guide for understanding the concept of Infinitesimals and Differentials , One of the main concepts of basic calculus. 
continue reading to find more.]]></description>
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		<title>Derivative of implicit functions.</title>
		<link>http://oscience.info/mathematics/derivative-of-implicit-functions/</link>
		<comments>http://oscience.info/mathematics/derivative-of-implicit-functions/#comments</comments>
		<pubDate>Fri, 10 Sep 2010 07:03:36 +0000</pubDate>
		<dc:creator>subash</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[The Derivative.]]></category>

		<guid isPermaLink="false">http://oscience.info/?p=301</guid>
		<description><![CDATA[Finding  derivative of a <a title="What is implicit and explicit functions?" href="http://oscience.info/mathematics/implicit-and-explicit-functions/" target="_blank">explicit functions</a> is easy using the <a title="Techniques of Differentiation." href="http://oscience.info/mathematics/techniques-of-differentiation/" target="_blank">differentiation techniques</a> but
It is difficult to find the <a title="What is Derivative or Differential Coefficient?" href="http://oscience.info/mathematics/derivative-or-differential-coefficient-of-a-function/" target="_blank">derivative</a> of <a title="What is implicit and explicit functions?" href="../mathematics/implicit-and-explicit-functions/" target="_blank">implicit  functions</a> so we use the Implicit Differentiation technique to find the derivative of Implicit functions.

The Implicit Differentiation technique make use of <a title="The Chain Rule." href="http://oscience.info/mathematics/the-chain-rule/" target="_blank">the Chain Rule</a> and <a title="The Sum Rule." href="http://oscience.info/mathematics/the-sum-rule/" target="_blank">the Sum Rule</a>.]]></description>
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		<title>Second and higher derivatives.</title>
		<link>http://oscience.info/mathematics/second-and-higher-derivatives/</link>
		<comments>http://oscience.info/mathematics/second-and-higher-derivatives/#comments</comments>
		<pubDate>Fri, 10 Sep 2010 06:07:02 +0000</pubDate>
		<dc:creator>subash</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[The Derivative.]]></category>

		<guid isPermaLink="false">http://oscience.info/?p=291</guid>
		<description><![CDATA[Think of a <a title="What is a function?" href="http://oscience.info/mathematics/introduction-to-functions/" target="_blank">function</a> y=f(x) , and let y=f(x) be a <a title="What is Differential Coefficient?" href="http://oscience.info/mathematics/derivative-or-differential-coefficient-of-a-function/" target="_blank">differentiable </a>function.

Then you can differentiate the function f(x) with respect to x or find derivative of f(x) which is called the first derivative of the function f(x). Let the first derivative of the function be "y" and now if you again differentiate y with respect to "x" then the result is called <strong>second derivative</strong> of function f(x) you can again find it's derivative and that's called the <strong>third derivative</strong> of function f(x) and similarly you can differentiate again to find fourth , fifth , sixth...... derivative.]]></description>
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		<title>The Chain Rule.</title>
		<link>http://oscience.info/mathematics/the-chain-rule/</link>
		<comments>http://oscience.info/mathematics/the-chain-rule/#comments</comments>
		<pubDate>Wed, 08 Sep 2010 12:32:54 +0000</pubDate>
		<dc:creator>subash</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[The Derivative.]]></category>

		<guid isPermaLink="false">http://oscience.info/?p=277</guid>
		<description><![CDATA[Chain Rule is one of the Techniques of Differentiation.


The Chain Rule states that:

 If v(u) is a Function of "u" and u(x) is a function of "x" then  the Derivative of  

function "v" with respect to "x" exists which  is equal to the product of derivative of function "v" with respect "u" and derivative of function "u" with respect to "x".


]]></description>
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		<title>The Quotient Rule.</title>
		<link>http://oscience.info/mathematics/the-quotient-rule/</link>
		<comments>http://oscience.info/mathematics/the-quotient-rule/#comments</comments>
		<pubDate>Wed, 08 Sep 2010 11:17:07 +0000</pubDate>
		<dc:creator>subash</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[The Derivative.]]></category>

		<guid isPermaLink="false">http://oscience.info/?p=264</guid>
		<description><![CDATA[Quotient Rule is one of the Techniques of Differentiation.

The Quotient Rule states that:

The Derivative of  a Function  "f(x)" divided by another function "g(x)" is the difference between the second function multiplied by derivative of first function and first function multiplied by derivative of second function whole divided by square of  the second function.]]></description>
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		<slash:comments>0</slash:comments>
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		<title>The Power Rule.</title>
		<link>http://oscience.info/mathematics/the-power-rule/</link>
		<comments>http://oscience.info/mathematics/the-power-rule/#comments</comments>
		<pubDate>Wed, 08 Sep 2010 09:54:44 +0000</pubDate>
		<dc:creator>subash</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[The Derivative.]]></category>

		<guid isPermaLink="false">http://oscience.info/?p=250</guid>
		<description><![CDATA[Power Rule is one of the Techniques of Differentiation.

The Power Rule states that:

The Derivative of  a Function raised to n’th power is the Product of n , the function raised to the power (n-1)’th and derivative of the function raised to first power.]]></description>
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		<title>The Product Rule.</title>
		<link>http://oscience.info/mathematics/the-product-rule/</link>
		<comments>http://oscience.info/mathematics/the-product-rule/#comments</comments>
		<pubDate>Wed, 08 Sep 2010 08:51:11 +0000</pubDate>
		<dc:creator>subash</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[The Derivative.]]></category>

		<guid isPermaLink="false">http://oscience.info/?p=237</guid>
		<description><![CDATA[Product Rule is one of the Techniques of Differentiation.

The Power Rule states that:

The Derivative of  product of two Function is the Sum of Derivative of first function multiplied by second function and first function multiplied by derivative of second function.]]></description>
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		<title>The Sum Rule.</title>
		<link>http://oscience.info/mathematics/the-sum-rule/</link>
		<comments>http://oscience.info/mathematics/the-sum-rule/#comments</comments>
		<pubDate>Wed, 08 Sep 2010 07:33:11 +0000</pubDate>
		<dc:creator>subash</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[The Derivative.]]></category>

		<guid isPermaLink="false">http://oscience.info/?p=220</guid>
		<description><![CDATA[Sum Rule is one of the Techniques of Differentiation.

The Sum Rule states that:

The Derivative of  sum of two Functions is the Sum or Derivatives of the two functions.]]></description>
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		<title>Techniques Of Differentiation.</title>
		<link>http://oscience.info/mathematics/techniques-of-differentiation/</link>
		<comments>http://oscience.info/mathematics/techniques-of-differentiation/#comments</comments>
		<pubDate>Wed, 08 Sep 2010 06:47:21 +0000</pubDate>
		<dc:creator>subash</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[The Derivative.]]></category>

		<guid isPermaLink="false">http://oscience.info/?p=217</guid>
		<description><![CDATA[To simplify the process of  Differentiating an equation or Function , There are some Rules or Techniques

using which we can simplify the process of finding the Derivative of any type of Function.

The main five techniques or rules of  Differentiation are listed here.
]]></description>
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		<title>Derivative of simple algebraic or polynomial functions.</title>
		<link>http://oscience.info/mathematics/derivative-of-simple-algebraic-or-polynomial-functions/</link>
		<comments>http://oscience.info/mathematics/derivative-of-simple-algebraic-or-polynomial-functions/#comments</comments>
		<pubDate>Wed, 02 Jun 2010 14:26:44 +0000</pubDate>
		<dc:creator>subash</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[The Derivative.]]></category>

		<guid isPermaLink="false">http://oscience.info/?p=167</guid>
		<description><![CDATA[The <a title="Derivative or Differential coefficient." href="http://oscience.info/mathematics/derivative-or-differential-coefficient-of-a-function/" target="_blank">derivative</a> and calculations on finding <a title="Derivative or Differential coefficient." href="http://oscience.info/mathematics/derivative-or-differential-coefficient-of-a-function/" target="_blank">derivative</a> of <a title="Some simple Algebraic Functions." href="http://oscience.info/mathematics/some-simple-algebraic-functions/" target="_blank">simple algebraic functions</a> or polynomial <a title="Introduction to Functions." href="http://oscience.info/mathematics/introduction-to-functions/" target="_blank">functions</a> is given here.]]></description>
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		<title>Derivative or Differential Coefficient of a Function.</title>
		<link>http://oscience.info/mathematics/derivative-or-differential-coefficient-of-a-function/</link>
		<comments>http://oscience.info/mathematics/derivative-or-differential-coefficient-of-a-function/#comments</comments>
		<pubDate>Thu, 11 Mar 2010 17:06:42 +0000</pubDate>
		<dc:creator>subash</dc:creator>
				<category><![CDATA[Mathematics]]></category>
		<category><![CDATA[The Derivative.]]></category>

		<guid isPermaLink="false">http://oscience.info/?p=164</guid>
		<description><![CDATA[Differential calculus or the concept of Derivative and Differential Coefficient was discovered by Isaac Newton (1642-1727) and Gottfried Wilhelm Leibnitz (1646-1716) in the process of solving two old problems one of finding slope of tangent drawn to a curve and another of finding instantaneous velocity of an object in non-uniform motion. Continue reading to find more.]]></description>
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