What is the extreme f(x)=15x^{2/3}-x ?

The extreme f(x)=15x^{2/3}-x is Minimum(0,0),Maximum(1000,500)

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extreme f(x)=15x^{2/3}-x

extreme points

f (x) = 15 x^{\frac{2}{3}} - x

Minimum (0, 0), Maximum (1000, 500)

Solution steps

f^{'} (x) = \frac{10}{x ^{\frac{1}{3}}} - 1

Find intervals:

Decreasing

: - \infty < x < \frac{1}{1000},

Increasing

: \frac{1}{1000} < x < \infty

Plug

x = 0

into

15 x^{\frac{2}{3}} - x : 0

Minimum (0, 0)

Plug

x = 1000

into

15 x^{\frac{2}{3}} - x : 500

Maximum (1000, 500)

Minimum (0, 0), Maximum (1000, 500)

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

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

y = \frac{x ^{2} - 9 x + 39}{x - 7}

\frac{1}{( x + 1 ) ^{2}}

f (x) = x (x^{2} - 12)

What is the extreme f(x)=15x^{2/3}-x ?
The extreme f(x)=15x^{2/3}-x is Minimum(0,0),Maximum(1000,500)