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Popular Functions >

extreme 1/(x^2-3*x+3)

Solution

extreme points

\frac{1}{x ^{2} - 3 \cdot x + 3}

Solution

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

Solution steps

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

Find intervals:

Increasing

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

Decreasing

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

Plug

x = \frac{3}{2}

into

\frac{1}{x ^{2} - 3 \cdot x + 3} : \frac{4}{3}

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

Graph

Popular Examples

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x^{4} + 12 x^{3} - 12 x + 11

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x^{2} - 130 x + 4000

extreme y=3xln(x)extreme points

y = 3 x ln (x)

extreme f(x)=(100000)/x+75000+1000x extreme points

f (x) = \frac{100000}{x} + 75000 + 1000 x

Frequently Asked Questions (FAQ)

What is the extreme 1/(x^2-3*x+3) ?
The extreme 1/(x^2-3*x+3) is Maximum(3/2 , 4/3)