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Popular Functions >

extreme f(x)=8x^3-x^4

Solution

extreme

Solution

Saddle (0, 0), Maximum (6, 432)

Solution steps

f^{'} (x) = 24 x^{2} - 4 x^{3}

Find intervals:

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < 6,

Decreasing

: 6 < x < \infty

Plug

x = 0

into

8 x^{3} - x^{4} : 0

Saddle (0, 0)

Plug

x = 6

into

8 x^{3} - x^{4} : 432

Maximum (6, 432)

Saddle (0, 0), Maximum (6, 432)

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=8x^3-x^4 ?
The extreme f(x)=8x^3-x^4 is Saddle(0,0),Maximum(6,432)