Q. 6

Differentiate the following functions:

(i)

(ii) -5 tan x + 4 tan x cos x – 3 cot x sec x + 2sec x – 13

Answer :

Formulae: -


- cosec2x


- sinx


secx tanx


- cosecx cotx


sec2x


cosx


0,k is constant


(i)


=


Differentiating with respect to x,



=


=


(ii) -5 tan x + 4 tan x cos x – 3 cot x sec x + 2sec x – 13


= -5 tan x + 4 sinx – 3 cosecx+ 2sec x – 13


Differentiating with respect to x,


-5 tan x + 4 sinx – 3 cosecx+ 2sec x – 13


= -5 sec2x + 4cosx -3(- cosecx cotx) + 2 secx tanx – 0


= -5 sec2x + 4cosx + 3 cosecx cotx + 2 secx tanx


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