Q23 of 354 Page 11

Differentiate the following functions with respect to x:
e^{tan 3x}

Let y = e^{tan 3x}

On differentiating y with respect to x, we get

We know

[using chain rule]

We have

[using chain rule]

However,

Thus,

Differentiate the following functions with respect to x:

e^3x cos(2x)

Differentiate the following functions with respect to x:

sin(log sin x)

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:etan 3x