passpadi

2017

Mathematics

JAMB

If y = x Sin x, find dy/dx when x = π/2

A.

−π/2

B.

-1

C.

1

D.

π/2

Correct Answer: 1

Explanation

y = xsinx dy/dx = 1 sin x + x cos x = sin x + x cos x At x = π/2 = sin π/2 + π/2 cos π/2 = 1 + π/2 × 0 = 1

y = xsinx dy/dx = 1 sin x + x cos x = sin x + x cos x At x = π/2 = sin π/2 + π/2 cos π/2 = 1 + π/2 × 0 = 1
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