Q5 of 354 Page 11

Differentiate the following functions with respect to x:

Let

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:

tan(x° + 45°)

Differentiate the following functions with respect to x:

sin(log x)

Differentiate the following functions with respect to x:

e^{tan x}

Differentiate the following functions with respect to x:

sin²(2x + 1)