Q42 of 354 Page 11

Differentiate the following functions with respect to x:

Let

On differentiating y with respect to x, we get

Recall that (quotient rule)

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

We know and

However,

Thus,

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(3x + 2) – x²log(2x – 1)

Differentiate the following functions with respect to x:

sin²{log(2x + 3)}

Differentiate the following functions with respect to x:

e^x log(sin 2x)