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Popular >

extreme 13x^2-x^3

Solution

extreme points

13 x^{2} - x^{3}

Solution

Minimum (0, 0), Maximum (\frac{26}{3}, \frac{8788}{27})

Solution steps

f^{'} (x) = 26 x - 3 x^{2}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \frac{26}{3},

Decreasing

: \frac{26}{3} < x < \infty

Plug

x = 0

into

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

Minimum (0, 0)

Plug

x = \frac{26}{3}

into

13 x^{2} - x^{3} : \frac{8788}{27}

Maximum (\frac{26}{3}, \frac{8788}{27})

Minimum (0, 0), Maximum (\frac{26}{3}, \frac{8788}{27})

Graph

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Frequently Asked Questions (FAQ)

What is the extreme 13x^2-x^3 ?
The extreme 13x^2-x^3 is Minimum(0,0),Maximum(26/3 , 8788/27)