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Popular >

extreme f(x)=4x-9x^{4/9}

Solution

extreme points

f (x) = 4 x - 9 x^{\frac{4}{9}}

Solution

Maximum (1, - 5)

Solution steps

f^{'} (x) = 4 - \frac{4}{x ^{\frac{5}{9}}}

Find intervals:

Increasing

: - \infty < x < 1,

Decreasing

: 1 < x < \infty

Plug

x = 1

into

4 x - 9 x^{\frac{4}{9}} : - 5

Maximum (1, - 5)

Graph

Popular Examples

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

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

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

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

extreme f(x,y)=6x+3y-7 extreme points

f (x, y) = 6 x + 3 y - 7

extreme-2x^2+3x-1 extreme points

- 2 x^{2} + 3 x - 1

extreme f(x,y)=2x^3-y^2+2xy+1 extreme points

f (x, y) = 2 x^{3} - y^{2} + 2 x y + 1

Frequently Asked Questions (FAQ)

What is the extreme f(x)=4x-9x^{4/9} ?
The extreme f(x)=4x-9x^{4/9} is Maximum(1,-5)