Q. 345.0( 1 Vote )

Differentiate each of the following w.r.t. x

(sin x)cos x

Answer :

Given: (Sin x)cos x


To Find: Differentiate w.r.t x


We have (Sin x)cos x


Let y=(Sin x)cos x


Now, Taking Log on both sides, we get


Log y = cos x.log(sin x)


Now, Differentiate both side w.r.t. x



By using product rule of differentiation






Substitute the value of y , we get


y’ = (Sin x)cos x[cos x.cot x - sin x (log sinx)]


Hence, y’ = (Sin x)cos x[cos x.cot x - sin x (log sinx)]


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