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Popular Functions >

extreme f(x)=2x^2+5x

Solution

extreme points

f (x) = 2 x^{2} + 5 x

Solution

Minimum (- \frac{5}{4}, - \frac{25}{8})

Solution steps

f^{'} (x) = 4 x + 5

Find intervals:

Decreasing

: - \infty < x < - \frac{5}{4},

Increasing

: - \frac{5}{4} < x < \infty

Plug

x = - \frac{5}{4}

into

2 x^{2} + 5 x : - \frac{25}{8}

Minimum (- \frac{5}{4}, - \frac{25}{8})

Graph

Popular Examples

domain of f(x)=-2x^2+2x-4

symmetry y=-x^2-2x+3

asymptotes of f(x)=(5x+1)/(x-2)

inverse of f(x)=2x^{1/3}+3

slope ofintercept 12x+5y=-18

Frequently Asked Questions (FAQ)

What is the extreme f(x)=2x^2+5x ?
The extreme f(x)=2x^2+5x is Minimum(-5/4 ,-25/8)