Q8 of 354 Page 11

Differentiate the following functions with respect to x:
log₇(2x – 3)

Let y = log₇(2x – 3)

Recall that.

On differentiating y with respect to x, we get

We know

[using chain rule]

However, and derivative of a constant is 0.

Thus,

Differentiate the following functions with respect to x:

e^{tan x}

Differentiate the following functions with respect to x:

sin²(2x + 1)

Differentiate the following functions with respect to x:

tan(5x°)

Differentiate the following functions with respect to x:

Differentiate the following functions with respect to x:log7(2x – 3)