Differentiate y=sin5x cos7x
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Answered by
4
Answer:
dy/dx=d(sin5xcos7x)
={sin5x×-sin7x× 7)}- {cos7x×cos x}
Answered by
6
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
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