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Popular Functions >

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

Solution

extreme

Solution

Maximum (1, - 3)

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < 1,

Decreasing

: 1 < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 1

into

\frac{3}{x ^{2} - 2 x} : - 3

Maximum (1, - 3)

Graph

Popular Examples

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extreme f(x)=2x^3+3x^2+4,-2<= x<= 1

extreme f(x)=-2/(x-7)

extreme f(x)=x^2+x+4

Frequently Asked Questions (FAQ)

What is the extreme f(x)= 3/(x^2-2x) ?
The extreme f(x)= 3/(x^2-2x) is Maximum(1,-3)