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Popular Functions >

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

Solution

extreme points

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

Solution

Minimum (- \frac{3}{2}, \frac{3}{4})

Solution steps

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

Find intervals:

Decreasing

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

Increasing

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

Plug

x = - \frac{3}{2}

into

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

Minimum (- \frac{3}{2}, \frac{3}{4})

Graph

Popular Examples

range of f(x)=(2x^2-3)/5

r an g e f (x) = \frac{2 x ^{2} - 3}{5}

p a r i t y x

critical e^{1/x}

cr i t i c a l e^{\frac{1}{x}}

extreme x^3-12x^2+36x+1

e x t re m e x^{3} - 12 x^{2} + 36 x + 1

inverse of f(x)=x^2-12x+36

in v erse f (x) = x^{2} - 12 x + 36

Frequently Asked Questions (FAQ)

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