y= x sin x

Find its derivative
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1 Answer

Question: y= x sin x. Find its derivative.

Use the product rule.

If y = u*v, where u and v are functions of x, then

dy/dx =u*(dv/dx) + v*(du/dx)

 

Since we have y = x.sinx, where u = x and v = sinx, then

dy/dx = x.(cosx) + sinx.(1)

Answer: dy/dx = sinx + x.cosx

by Level 11 User (81.5k points)

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