2005
Mathematics
JAMB
The maximum value of the function f(x) = 2 + x - x2 is
A.
9/4
B.
7/4
C.
3/2
D.
1/2
Correct Answer: 9/4
Explanation
f(x) = 2 + x - x2 dy/dx = 1-2x As dy/dx = 0 1-2x = 0 2x = 1 x = 1/2 At x = 1/2 f(x) = 2 + x - x2 = 2 + 1/2 -(1/2)2 = 2 + 1/2 - 1/4 = (8+2-1) / 4 = 9/4
f(x) = 2 + x - x2 dy/dx = 1-2x As dy/dx = 0 1-2x = 0 2x = 1 x = 1/2 At x = 1/2 f(x) = 2 + x - x2 = 2 + 1/2 -(1/2)2 = 2 + 1/2 - 1/4 = (8+2-1) / 4 = 9/4THIS WEEK's
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