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Popular >

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})

Popular Examples

f (x) = 2 x + 5

inverse of f(x)=((3-2x))/(3x+4)inverse

f (x) = \frac{( 3 - 2 x )}{3 x + 4}

line 4x-y-5=0 line

4 x - y - 5 = 0

range of (6x^2+35x-6)/(4x^2+23x-6)range

\frac{6 x ^{2} + 35 x - 6}{4 x ^{2} + 23 x - 6}

inverse of f(x)=sqrt(x)+7 inverse

f (x) = x + 7

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)