Differentiate the following functions with respect to x:
log(tan^–1x)

Let y = log(tan^–1x)

On differentiating y with respect to x, we get

We know

[using chain rule]

We have

Thus,

36

Differentiate the following functions with respect to x:

37

Differentiate the following functions with respect to x:

39

Differentiate the following functions with respect to x:

40

Differentiate the following functions with respect to x:

xsin(2x) + 5^x + k^k + (tan²x)³

Differentiate the following functions with respect to x:log(tan–1x)