JAMB Mathematics 2007 Objective — Question 38
Question 38 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2007 Objective paper, with the correct answer and a full explanation.
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Find the value of x for which the function f(x)=2x^3-x^2-4x+4 has a maximum value.
- A. -1
- B. -2/3Correct
- C. 2/3
- D. 1
Explanation
f'(x)=6x^2-2x-4=0 simplifies to 3x^2-x-2=0, giving x=-2/3 or x=1. Testing the second derivative shows x=-2/3 gives the maximum.
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