UTME/SSCE Mathematics Practice Tests – Differentiation


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If y = 3 cos 4x, \frac{dy}{dx} equals _____

A. 6 sin 8x     B. -24 sin 4x     C. 12 sin 4x     D. -12 sin 4x


The derivative of (2x + 1)(3x + 1) is _____

A. 12x + 1     B. 6x + 5    C. 6x + 1    D. 12x + 5


Find the derivative of y = sin (2x3 + 3x — 4)

A. cos (2x3 + 3x — 4)
B. - cos (2x3 + 3x - 4)
C. (6x2 + 3) cos (2x3 + 3x — 4)
D. - (6x2 + 3) cos (23 + 3x - 4)


If y = x cos x, find  \frac{dy}{dx} 

A. sin x - x cos x     B. sin x + x cos x     C. cos x + x sin x     D. cos x - x sin x


Given y = x3 − x2 − 4, find \frac{dy}{dx} at x = -1

A. 3     B. 4     C. 5     D. 6


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