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Popular >

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})

Popular Examples

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

f (x) = - 2 x^{2} + 2 x - 4

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

y = - x^{2} - 2 x + 3

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

f (x) = \frac{5 x + 1}{x - 2}

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

f (x) = 2 x^{\frac{1}{3}} + 3

slope ofintercept 12x+5y=-18 slope intercept

12 x + 5 y = - 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)