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. 


If s = (2 + 3t)(5t - 4), find \frac{ds}{dt} when t = \frac{4}{5} secs

A. 0 unit per sec    
B. 15 units per sec.    
C. 22 units per sec    
D. 26 units per sec.

2. 


What value of x will make the function x(4 - x) a maximum?

A. 4    
B. 3    
C. 2    
D. 1

3. 


What is the rate of change of the volume v of a hemisphere with respect to its radius r when r = 2?

A. 2π    B. 4π    C. 8π    D. \frac{16}{3}π

4. 


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 (2x3 + 3x - 4)

5. 


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

 

 

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