The Gateway to Computer Science Excellence
+10 votes
858 views
Find the minimum value of $3-4x+2x^2$.
in Calculus by Veteran (52.2k points)
edited by | 858 views
0

(≤ 720)

what is this?

1 Answer

+12 votes
Best answer
$f(x) = 3-4x+2x^2$

$f '(x) = -4 + 4x = 0  \implies  x=1$

$f ''(x) = 4$

$f ''(1) = 4>0$, therefore at $x=1$ we will get minimum value, which is : $3 - 4(1) + 2(1)^2 = 1.$
by Loyal (8.1k points)
edited by
Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true
50,737 questions
57,388 answers
198,576 comments
105,414 users