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Popular Functions >

extreme x^4-2x^3

Solution

extreme points

x^{4} - 2 x^{3}

Solution

Saddle (0, 0), Minimum (\frac{3}{2}, - \frac{27}{16})

Solution steps

f^{'} (x) = 4 x^{3} - 6 x^{2}

Find intervals:

Decreasing

: - \infty < x < 0,

Decreasing

: 0 < x < \frac{3}{2},

Increasing

: \frac{3}{2} < x < \infty

Plug

x = 0

into

x^{4} - 2 x^{3} : 0

Saddle (0, 0)

Plug

x = \frac{3}{2}

into

x^{4} - 2 x^{3} : - \frac{27}{16}

Minimum (\frac{3}{2}, - \frac{27}{16})

Saddle (0, 0), Minimum (\frac{3}{2}, - \frac{27}{16})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme x^4-2x^3 ?
The extreme x^4-2x^3 is Saddle(0,0),Minimum(3/2 ,-27/16)