Derivative of Sin x Square Using First Principle

The formula to find derivative of a function f(x) using first principle :

Derivative of sinx using first principle :

Let

f(x) = sin(x²)

Sum to Product Trigonometric Identity,

In f'(x) above,

C = (x + h)²

D = x²

From standard results of limits,

Therefore,

[sin(x²)]' = 2xcos(x²)

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

Recent Articles