Question

The differential coefficient of ax + log x. sin x
sinx
(A) a'logea + + log x.cos
X
(B) a' +
sinx
+ cos x. loga
COSY
(C) a' log a +
+ sin x.log
(D) None of these​

Answer 1

Answer:

Let y = ax + log x sin x

Differentiate w.r.t.x

dy/dx = ax log a + (1/x)sin x + log x cos x

= ax log a + (sin x)/x + log x cos x

Hence option (1) is the answer.