# Mathematics Practice Tests (SS1 – SS3) – Calculus (Differentiation and Integration)

Hello and Welcome to UTME/SSCE Mathematics Practice Tests - Calculus (Differentiation and Integration)

1. You are to attempt 10 random objectives questions ONLY.
2. Supply Your Full Name and Location in the text box below and begin immediately.
3. You can attempt as many times as possible
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Find

A.     B.     C.     D.

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

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

Differentiate (cos θ — sin θ)2 with respect to θ

A. -2 cos 2θ    B. -2 sin 2θ     C. 1 - 2 cos 2θ    D. 1 - 2 sin 2θ

Evaluate ∫ sec2 θ dθ.

A. sec θ tan θ + k     B. tan θ + k     C. 2sec θ + k     D. sec θ + k

If y = 2x cos x- sin 2x, find when x =

A. π     B. - π     C.     D.

Given y = x3 − x2 − 4, find

A. 3x - 2      B. 3 - 2x2     C. 3x2 - 2x     D. 3 - 2x

Find the value of x for which the function 3x3 — 9x2 is minimum.

A. 0    B. 2    C. 3    D. 5

The maximum value of the function f(x) = 2 + x - x2 is ______

A.     B.     C.     D.

If y = 3 cos 4x, equals _____

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

Differentiation and Integration

Find the maximum value of y in the equation y = 1 - 2x - 3x2

A.       B.       C.       D.

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