Q6 of 354 Page 11

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

Let y = e^{tan x}

On differentiating y with respect to x, we get

We know

[using chain rule]

We have

Thus,

Differentiate the following functions with respect to x:

sin(log x)

Differentiate the following functions with respect to x:

sin²(2x + 1)

Differentiate the following functions with respect to x:

log₇(2x – 3)

Differentiate the following functions with respect to x:etan x