Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers):

Question

Philoid · Accepted Answer

Let f(x) =

By product rule,

= (x + cos x) (1 – sec² x) + (x – tan x) (1 – sin x)

∴ f’(x) = - tan² x (x + cos x) + (x – tan x) (1 – sin x)