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Popular >

extreme 4x^3-x^4

Solution

extreme points

4 x^{3} - x^{4}

Solution

Saddle (0, 0), Maximum (3, 27)

Solution steps

f^{'} (x) = 12 x^{2} - 4 x^{3}

Find intervals:

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < 3,

Decreasing

: 3 < x < \infty

Plug

x = 0

into

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

Saddle (0, 0)

Plug

x = 3

into

4 x^{3} - x^{4} : 27

Maximum (3, 27)

Saddle (0, 0), Maximum (3, 27)

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Frequently Asked Questions (FAQ)

What is the extreme 4x^3-x^4 ?
The extreme 4x^3-x^4 is Saddle(0,0),Maximum(3,27)