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Popular Functions >

extreme f(x)=-2x^2+9x+11

Solution

extreme points

f (x) = - 2 x^{2} + 9 x + 11

Solution

Maximum (\frac{9}{4}, \frac{169}{8})

Solution steps

f^{'} (x) = - 4 x + 9

Find intervals:

Increasing

: - \infty < x < \frac{9}{4},

Decreasing

: \frac{9}{4} < x < \infty

Plug

x = \frac{9}{4}

into

- 2 x^{2} + 9 x + 11 : \frac{169}{8}

Maximum (\frac{9}{4}, \frac{169}{8})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=-2x^2+9x+11 ?
The extreme f(x)=-2x^2+9x+11 is Maximum(9/4 , 169/8)