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Popular >

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})

Popular Examples

inflection-x^2+5x+1 inflection points

- x^{2} + 5 x + 1

range of f(x)=-1/2 x^2+7x-3 range

f (x) = - \frac{1}{2} x^{2} + 7 x - 3

domain of f(x)= 3/(x-2)domain

f (x) = \frac{3}{x - 2}

intercepts of f(x)=\sqrt[3]{x+1}intercepts

parity sin(x)parity

sin (x)

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)