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Popular >

extreme f(x)=x^{1/7}(x+8)

Solution

extreme points

f (x) = x^{\frac{1}{7}} (x + 8)

Solution

Minimum (- 1, - 7)

Solution steps

f^{'} (x) = \frac{8 ( x + 1 )}{7 x ^{\frac{6}{7}}}

Find intervals:

Decreasing

: - \infty < x < - 1,

Increasing

: - 1 < x < 0,

Increasing

: 0 < x < \infty

Plug

x = - 1

into

x^{\frac{1}{7}} (x + 8) : - 7

Minimum (- 1, - 7)

Popular Examples

asymptotes of f(x)= 4/(x-1)asymptotes

f (x) = \frac{4}{x - 1}

domain of (8x+9)/(x+8)domain

\frac{8 x + 9}{x + 8}

f (x) = x^{2} + 2 x + 5

intercepts of x^2+4 intercepts

x^{2} + 4

parity (x+8)/(x^3+x-1)parity

\frac{x + 8}{x ^{3} + x - 1}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^{1/7}(x+8) ?
The extreme f(x)=x^{1/7}(x+8) is Minimum(-1,-7)