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Popular >

extreme-7+8x-x^3

Solution

extreme points

- 7 + 8 x - x^{3}

Solution

Minimum (- \frac{2 2}{3}, - \frac{32 2}{3 3} - 7), Maximum (\frac{2 2}{3}, \frac{32 2}{3 3} - 7)

Solution steps

f^{'} (x) = - 3 x^{2} + 8

Find intervals:

Decreasing

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

Increasing

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

Decreasing

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

Plug

x = - \frac{2 2}{3}

into

- 7 + 8 x - x^{3} : - \frac{32 2}{3 3} - 7

Minimum (- \frac{2 2}{3}, - \frac{32 2}{3 3} - 7)

Plug

x = \frac{2 2}{3}

into

- 7 + 8 x - x^{3} : \frac{32 2}{3 3} - 7

Maximum (\frac{2 2}{3}, \frac{32 2}{3 3} - 7)

Minimum (- \frac{2 2}{3}, - \frac{32 2}{3 3} - 7), Maximum (\frac{2 2}{3}, \frac{32 2}{3 3} - 7)

Popular Examples

inverse of (5x-1)/(2x-3)inverse

\frac{5 x - 1}{2 x - 3}

perpendicular y+3=-1/2 (x-10)perpendicular

y + 3 = - \frac{1}{2} (x - 10)

domain of f(x)= 9/(x-6)domain

f (x) = \frac{9}{x - 6}

domain of f(x)=x^2(96-x)domain

f (x) = x^{2} (96 - x)

range of sqrt(4x^2+20)range

4 x^{2} + 20

Frequently Asked Questions (FAQ)

What is the extreme-7+8x-x^3 ?
The extreme-7+8x-x^3 is