Q25 of 92 Page 317

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):

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)


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