Q55 of 354 Page 11

Differentiate the following functions with respect to x:
log(cos x²)

Let y = log(cos x²)

On differentiating y with respect to x, we get

We have

[using chain rule]

We know

[using chain rule]

However,

Thus,

Differentiate the following functions with respect to x:

e^axsec(x)tan(2x)

Differentiate the following functions with respect to x:

cos(log x)²

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:log(cos x2)