question_answer 1)

Diff. (sin x ? cos x)sinx? cos x w.r.t.x.  

Answer:

Let y = (sin x ? cos x)sinx ? cos x            Log y = (sin x ? cos x) log (sin x ? cos x)       Diff. w.r.t.x.                        + log (sin x ? cos x) × (cos x + sin x)             × (cos x + sin x) [1 + log (sin x ? cos x)]             (Provided sin x > cos x)