Q44 of 354 Page 11

Differentiate the following functions with respect to x:
e^x log(sin 2x)

Let y = e^x log(sin 2x)

On differentiating y with respect to x, we get

We have (uv)’ = vu’ + uv’ (product rule)

We know and

[chain rule]

We have

However,

Thus,

Differentiate the following functions with respect to x:

sin²{log(2x + 3)}

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:ex log(sin 2x)