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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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