The Sum Rule.
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. Mathematically we can write this as: If, Or, function “h” is the sum of functions “f” and “g” Then , Or. “function h” prime or derivative of function “h” is “function f” prime or derivative of “f” added to “g” prime or derivative of ...
read moreTechniques Of Differentiation.
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: 1> The Sum Rule. 2> The Product Rule. 3> The Power Rule. 4> The Quotient Rule. 5> The Chain...
read moreDerivative of simple algebraic or polynomial functions.
The derivative and calculations on finding derivative of simple algebraic functions or polynomial functions is given below: 1> Derivative of Constant function or derivative of f(x)=y=c (c is a constant) Let Δx be a small increment in x and Δy be corresponding increment in y. Then, or, and , Thus , 2> Derivative of Identity function or derivative of f(x)=y=x Let Δx be a small increment in x and Δy be corresponding increment in y. Then, or, and , Thus, 3> Derivative of simple Quadratic function...
read moreDerivative or Differential Coefficient of a Function.
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. Derivative: When a variable “y” is defined as a function of another variable “x” or, f(x)=y Then , The Derivative or Differential Coefficient of the function “f” at a...
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