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


let v = sin xtanx

taking log both sides,

log v = tan x log sin x

diff. w.r.t x, get


Adding both (i) and (ii)

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

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