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. 


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

A. 4    
B. 3    
C. 2    
D. 1

2. 


If y = (2x + 1)3,  find  \frac{dy}{dx} .

A. 6(2x + 1)    
B. 3(2x + 1)   
C. 6(2x + 1)2   
D. 3(2x + 1)2

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. 


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

A. 0   
B. 2   
C. 3   
D. 5

 

 

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