Q21 of 354 Page 11

Differentiate the following functions with respect to x:
e^3x cos(2x)

Let y = e^3xcos(2x)

On differentiating y with respect to x, we get

Recall that (uv)’ = vu’ + uv’ (product rule)

We know and

[chain rule]

We have

Thus,

Differentiate the following functions with respect to x:

sin(log sin x)

Differentiate the following functions with respect to x:

e^{tan 3x}

Differentiate the following functions with respect to x:e3x cos(2x)