Mathematics Practice Test – Differentiation

Hello and Welcome to Mathematics Practice Tests - Differentiation

1. You are to attempt 5 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
1.

Differentiate $\left&space;(&space;x^{2}-\frac{1}{x}&space;\right&space;)^{2}$ with respect to x.

A. $4x^{3}-4x-\frac{2}{x}$      B. $4x^{3}-2+\frac{2}{x^{3}}$      C. $4x^{3}-2-\frac{2}{x^{3}}$      D. $4x^{3}-3x+\frac{2}{x}$

2.

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

A. $-\frac{9}{4}$     B. $-\frac{7}{4}$     C. $-\frac{3}{2}$     D. $-\frac{1}{2}$

3.

Find the minimum value of y = x2 + 6x - 12

A. -21     B. -12     C. -6     D. -3

4.

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

5.

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

A. $\frac{5}{4}$       B. $\frac{5}{3}$        C. $\frac{3}{4}$        D. $\frac{4}{3}$

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