Question on: JAMB Mathematics - 2008

Find the minimum value of the function y = x(1+x)

A
-1/4
B
-1/2
C
1/4
D
1/2
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Correct Option: A

y = x(1+x)

= x + x2

dy/dx = 1 + 2x

As dy/dy → 0

1 + 2x = 0

2x = -1

X = -1/2

Y = x(1+x)

= -1/2(1 - 1/2) at x = -1/2

= -1/2(1/2)

= -1/4

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