passpadi

2004

Mathematics

JAMB

If y = 3 cos(x/3), find dy/dx when x = (3π/2)

A.

1

B.

-3

C.

2

D.

-1

Correct Answer: -1

Explanation

y = 3cos(x/3) dy/dx = 3x(1/3)x - sin (x/3) = - sin x/3 But x = 3π/2 ∴ -sin(x/3) = -sin(3π/6) = -sin (3 * 180)/6 = - sin 90 = -1

y = 3cos(x/3) dy/dx = 3x(1/3)x - sin (x/3) = - sin x/3 But x = 3π/2 ∴ -sin(x/3) = -sin(3π/6) = -sin (3 * 180)/6 = - sin 90 = -1
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