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MATHEMATICS

JAMB 2013 - Question 36

Mathematics 2013 JAMB Past Questions - Question 36: If y=x sin x,find dy/dx

If y=x sin x,find dy/dx

A: Cos x+x sinx

B: Sinx +xcosx

C: Sinx -cos x

D: Cosx -xsinx

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Correct Answer

Explanation

y = xsin x, whereu = x and v = sinx.then du/dx = 1 and dy/dx = cos xBy the chain rule, dy/dx = vdu/dx + udv /dx= (sin x)1 + xcos x= sin x + xcos x