Q. 175.0( 2 Votes )

Differentiate the following function w.r.t. x:

(x)cos x + (sin x)tan x

Answer :

formula: -






given: -


y = (x)cos x + (sin x)tan x


Let u = xcosx


taking log both sides


log u = cos x. log x


now diff.w.r.to x




……………………(i)


let v = sin xtanx


taking log both sides,


log v = tan x log sin x


diff. w.r.t x, get



--------------(ii)


Adding both (i) and (ii)




= sin xtanx {1+sec2 x. log sin x}


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