Math, asked by PranayLadhe, 9 months ago

composite function of derivative find y= e^5x•sin3x​

Answers

Answered by Anonymous
1

Step-by-step explanation:

see the attachment...

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Answered by Anonymous
1

Answer:

e^{5x}(5\sin3x+3\cos3x)

Step-by-step explanation:

y = e^{5x}\sin 3x\\\\\frac{dy}{dx} = \bigl(\frac{d}{dx}e^{5x}\bigr)\times\sin 3x + e^{5x}\times\bigl(\frac{d}{dx}\sin 3x\bigr)\\\\= 5e^{5x}\times \sin3x + e^{5x}\times3\cos3x\\\\= e^{5x}(5\sin3x+3\cos3x)

Hope this helps!

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