Q4 of 354 Page 11

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

Let y = sin(log x)

On differentiating y with respect to x, we get

We know

[using chain rule]

However,

Thus,

Differentiate the following functions with respect to x:

tan²x

Differentiate the following functions with respect to x:

tan(x° + 45°)

Differentiate the following functions with respect to x:

e^{tan x}

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