Question

differentiate sin3x cos5x​

Answer 1

Answer:

5 sin 5 x + 3 cos 3 x

Step-by-step explanation:

Let :

y = sin 3 x - cos 5 x

We know :

d / d x ( sin x ) = cos x

d / d x ( cos x ) = - sin x

Diff. w.r.t. x :

= > d y / d x = cos 3 x ( 3 x )' + sin 5 x ( 5 x )'

= >  d y / d x = 3 cos 3 x + 5 sin 5 x

OR

= > d y / d x = 5 sin 5 x + 3 cos 3 x

Hence we get required answer!

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