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Popular >

extreme f(x)=6x^{2/3}-4x

Solution

extreme points

f (x) = 6 x^{\frac{2}{3}} - 4 x

Solution

Minimum (1, 2)

Solution steps

f^{'} (x) = \frac{4}{x ^{\frac{1}{3}}} - 4

Find intervals:

Decreasing

: - \infty < x < 1,

Increasing

: 1 < x < \infty

Plug

x = 1

into

6 x^{\frac{2}{3}} - 4 x : 2

Minimum (1, 2)

Popular Examples

extreme f(x)=3x^5-4x^3 extreme points

f (x) = 3 x^{5} - 4 x^{3}

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extreme f(x,y)=4x^2+y^2-8x+6y+8 extreme points

f (x, y) = 4 x^{2} + y^{2} - 8 x + 6 y + 8

extreme f(x)=e^{x^2-9x-1},-9<= x<= 9 extreme points

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extreme f(x)=5-7x-4x^2 extreme points

f (x) = 5 - 7 x - 4 x^{2}

Frequently Asked Questions (FAQ)

What is the extreme f(x)=6x^{2/3}-4x ?
The extreme f(x)=6x^{2/3}-4x is Minimum(1,2)