Derivative of Cos 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) = cos(x2)

Sum to Product Trigonometric Identity,

In f'(x) above,

C = (x + h)2

D = x2



From standard results of limits,


Therefore,

[cos(x2)]' = 2xsin(x2)

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