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Find the minimum value of the function y = x(1+x)
Question 1
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Find the minimum value of the function y = x(1+x)
-
1
/
4
-
1
/
2
1
/
4
1
/
2
Answer Details
y = x(1+x)
= x + x
2
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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