passpadi

2001

Mathematics

JAMB

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

A.

-π/2

B.

-1

C.

1

D.

π/2

Correct Answer: 1

Explanation

y = x sin x dy/dx = 1 x sinx + x cosx = sinx + x cosx At x = π/2, = sin (π/2) + (π/2) cos (π/2) = 1 + (π/2) x (0) = 1

y = x sin x dy/dx = 1 x sinx + x cosx = sinx + x cosx At x = π/2, = sin (π/2) + (π/2) cos (π/2) = 1 + (π/2) x (0) = 1
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