Q) Differentiate: y=tanxsinx - Maths - Continuity and Differentiability

Question

Q) Differentiate:
y = tan x sin x

Rishabh Mittal · Accepted Answer

Dear Student ,

Please find below the solution to the asked query :

y=  tan xsin xTaking log on both sides, we getlog y = log  tan xsin xlog y = sin x log tan xDifferentiating both sides wrt x, we get1y dydx = cos x log tan x + sin x 1tan x 
 sec2xdydx= y cos x log tan x + sin x cos xsin x 
 sec2x =  tan xsin x cos x log tan x + sec x        ANS
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Q). Differentiate: y = tan x sin x

Q). Differentiate:
$y = {(\tan x)}^{\sin x}$