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Popular >

extreme f(x)=x^{6/7}-7

Solution

extreme points

f (x) = x^{\frac{6}{7}} - 7

Solution

Minimum (0, - 7)

Solution steps

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

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < \infty

Plug

x = 0

into

x^{\frac{6}{7}} - 7 : - 7

Minimum (0, - 7)

Popular Examples

extreme f(x)=x^3+y^3-3x^2-3y^2-9x extreme points

f (x) = x^{3} + y^{3} - 3 x^{2} - 3 y^{2} - 9 x

extreme f(x)=((x^3))/3-2x^2-5x extreme points

f (x) = \frac{( x ^{3} )}{3} - 2 x^{2} - 5 x

extreme f(x,y)=-4x^2+y(8-y)extreme points

f (x, y) = - 4 x^{2} + y (8 - y)

extreme f(x,y)=x+y-xy extreme points

f (x, y) = x + y - x y

extreme f(x)=x^2+x^3 extreme points

f (x) = x^{2} + x^{3}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=x^{6/7}-7 ?
The extreme f(x)=x^{6/7}-7 is Minimum(0,-7)