Mathematics Practice Test – Differentiation

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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. 


Find the derivative of the function y = 2x2(2x - 1) at the point x = 1

A. -6   
B. -4   
C. 16   
D. 18

2. 


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

3. 


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

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

4. 


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}

5. 


The radius r of a circular disc is increasing at the rate of 0.5 cm/sec. At what rate is the area of the disc increasing when its radius is 6 cm?

A. 36π cm2/sec   
B. 18π cm2/sec   
C. 6π cm2/sec   
D. 3π cm2/sec

 

 

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