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Popular Functions >

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

Solution

extreme

Solution

Saddle (0, 0), Maximum (\frac{3}{4}, \frac{27}{256})

Solution steps

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

Find intervals:

Increasing

: - \infty < x < 0,

Increasing

: 0 < x < \frac{3}{4},

Decreasing

: \frac{3}{4} < x < \infty

Plug

x = 0

into

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

Saddle (0, 0)

Plug

x = \frac{3}{4}

into

x^{3} - x^{4} : \frac{27}{256}

Maximum (\frac{3}{4}, \frac{27}{256})

Saddle (0, 0), Maximum (\frac{3}{4}, \frac{27}{256})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^3-x^4 ?
The extreme f(x)=x^3-x^4 is Saddle(0,0),Maximum(3/4 , 27/256)