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Popular Functions >

extreme f(x)=(-x^6+6x)/(10)

Solution

extreme

Solution

Maximum (1, \frac{1}{2})

Solution steps

f^{'} (x) = \frac{3 ( - x ^{5} + 1 )}{5}

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

\frac{- x ^{6} + 6 x}{10} : \frac{1}{2}

Maximum (1, \frac{1}{2})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=(-x^6+6x)/(10) ?
The extreme f(x)=(-x^6+6x)/(10) is Maximum(1, 1/2)