Q40 of 354 Page 11

Differentiate the following functions with respect to x:
xsin(2x) + 5^x + k^k + (tan²x)³

Let y = xsin(2x) + 5^x + k^k + (tan²x)³

On differentiating y with respect to x, we get

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

We know, and

Also, the derivation of a constant is 0.

We have and

Thus,

Differentiate the following functions with respect to x:

log(tan^–1x)

Differentiate the following functions with respect to x:

log(3x + 2) – x²log(2x – 1)

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:xsin(2x) + 5x + kk + (tan2x)3