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Popular Functions >

extreme f(x)=-2x^2-x+4

Solution

extreme points

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

Solution

Maximum (- \frac{1}{4}, \frac{33}{8})

Solution steps

f^{'} (x) = - 4 x - 1

Find intervals:

Increasing

: - \infty < x < - \frac{1}{4},

Decreasing

: - \frac{1}{4} < x < \infty

Plug

x = - \frac{1}{4}

into

- 2 x^{2} - x + 4 : \frac{33}{8}

Maximum (- \frac{1}{4}, \frac{33}{8})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=-2x^2-x+4 ?
The extreme f(x)=-2x^2-x+4 is Maximum(-1/4 , 33/8)