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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 < 0,

Decreasing

: 0 < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

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

Minimum (1, - 7)

Graph

Popular Examples

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f (x, y) = x^{3} - 27 x y + 27 y^{3}

extreme f(x)=x^2+5x-1 extreme points

f (x) = x^{2} + 5 x - 1

extreme f(x,y)=x^2+xy+y^2+2y extreme points

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extreme f(x)=12x^5+30x^4-300x^3+3 extreme points

f (x) = 12 x^{5} + 30 x^{4} - 300 x^{3} + 3

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)