Question

Find derivative of y= sin x sin 3x​

Answer 1

The derivative of y= sin x sin 3x​ is $=3 \cos x-3 \cos 3 x$

What is a derivative?

• Futures contracts, options contracts, and credit default swaps are typical types of derivatives. Beyond this, a sizable number of derivative contracts satisfy the requirements of a wide range of counterparties.

To find the derivative of y= sin x sin 3x​:

$y=3 \sin (x)-\sin (3 x)$

$y^{\prime}=3 \cos x-[\cos (3 x) \cdot 3]$

$y^{\prime}=3(\cos x-\cos 3 x)$

$\frac{dx}{dy} =3 cosx - 3 cos x$

Differentiate $sin 3x$ using the chain rule

Given $y=f^{'} (g(x))*g^{'}$←chain rule

y=$y=3 sin x-sin 3x$

$\frac{dx}{dy} =3 cos x - cos 3x*\frac{d}{dx} (3x)$

$=3cosx-3cos3x$

To learn more about derivatives, refer to

brainly.com/question/23819325

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