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GATE199525a
+10
votes
717
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Find the minimum value of $34x+2x^2$.
gate1995
calculus
maximaminima
easy
asked
Oct 8, 2014
in
Calculus
by
Kathleen
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(
52k
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edited
Jun 20, 2017
by
Silpa

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1
Answer
+12
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Best answer
$f(x) = 34x+2x^2$
$f '(x) = 4 + 4x = 0 \implies x=1$
$f ''(x) = 4$
$f ''(1) = 4>0$, therefore at $x=1$ we will get minimum value, which is : $3  4(1) + 2(1)^2 = 1.$
answered
Dec 27, 2014
by
jayendra
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8.1k
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edited
Jun 4
by
Sukanya Das
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