# Derivative 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 or derivative of f(x)=y=x ^{2}**

Let Δx be a small increment in x and Δy be corresponding increment in y. Then,

or,

and,

Thus,

4> ** Derivative of Simple cubic function or derivative of f(x)=y=x ^{3}**

Let Δx be a small increment in x and Δy be corresponding increment in y. Then,

or,

and,

Thus,

**The Conclusion:**

If we analysis above four examples and also analysis the derivative of higher degree of functions

Then we can see the following result:

Derivative of simple algebraic functions or polynomial functions

like function f(x)=y=x^{n}

is n.x^{n-1}

or,

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