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Popular >

extreme f(x)=8x-9x^{8/9}

Solution

extreme points

f (x) = 8 x - 9 x^{\frac{8}{9}}

Solution

Maximum (1, - 1)

Solution steps

f^{'} (x) = 8 - \frac{8}{x ^{\frac{1}{9}}}

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

8 x - 9 x^{\frac{8}{9}} : - 1

Maximum (1, - 1)

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=8x-9x^{8/9} ?
The extreme f(x)=8x-9x^{8/9} is Maximum(1,-1)