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Popular Functions >

extreme f(x)=-x^2-3x+3

Solution

extreme points

f (x) = - x^{2} - 3 x + 3

Solution

Maximum (- \frac{3}{2}, \frac{21}{4})

Solution steps

f^{'} (x) = - 2 x - 3

Find intervals:

Increasing

: - \infty < x < - \frac{3}{2},

Decreasing

: - \frac{3}{2} < x < \infty

Plug

x = - \frac{3}{2}

into

- x^{2} - 3 x + 3 : \frac{21}{4}

Maximum (- \frac{3}{2}, \frac{21}{4})

Graph

Popular Examples

asymptotes of (2x^2-3x-5)/(2x^2-5x-3)

a sy m pt o t es \frac{2 x ^{2} - 3 x - 5}{2 x ^{2} - 5 x - 3}

parity f(-x)=\sqrt[3]{x^3-5x}

p a r i t y f (- x) = 3 x^{3} - 5 x

domain of (x/3)/3

d o main \frac{\frac{x}{3}}{3}

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

r an g e f (x) = \frac{x ^{2} - 1}{x ^{2} + 1}

intercepts of y=3x^2+8x-3

in t erce pt s y = 3 x^{2} + 8 x - 3

Frequently Asked Questions (FAQ)

What is the extreme f(x)=-x^2-3x+3 ?
The extreme f(x)=-x^2-3x+3 is Maximum(-3/2 , 21/4)