Question

Differentiate y=sin5x cos7x

Answer 1

Answer:

dy/dx=d(sin5xcos7x)

={sin5x×-sin7x× 7)}- {cos7x×cos x}

Answer 2

Answer:

Step-by-step explanation:

y=sin 5 x cos 7 x

differentiating w.r.t x    ,using product rule

d y/d x =sin 5 x d (cos 7 x)/d x+cos 7 x d(sin 5 x )/d x

⇒ d y/d x =sin 5 x (-sin 7 x) 7+cos 7 x (cos 5 x)5   [using chain rule]

⇒ d y/d x= -7 sin 5 x sin 7 x+ 5 cos 7 x cos 5 x