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Popular Functions >

extreme-x^{2/3}(x-5)

Solution

extreme

Solution

Minimum (0, 0), Maximum (2, 3 \cdot 2^{\frac{2}{3}})

Solution steps

f^{'} (x) = - \frac{5 x - 10}{3 x ^{\frac{1}{3}}}

Find intervals:

Decreasing

: - \infty < x < 0,

Increasing

: 0 < x < 2,

Decreasing

: 2 < x < \infty

Plug

x = 0

into

- x^{\frac{2}{3}} (x - 5) : 0

Minimum (0, 0)

Plug

x = 2

into

- x^{\frac{2}{3}} (x - 5) : 3 \cdot 2^{\frac{2}{3}}

Maximum (2, 3 \cdot 2^{\frac{2}{3}})

Minimum (0, 0), Maximum (2, 3 \cdot 2^{\frac{2}{3}})

Graph

Popular Examples

extreme f(x)=x+e^{-4x},-2<= x<= 2

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

extreme (4 x/(5-3))/(2x^5+9x)

extreme f(x)=-3x^2+6x+9

extreme x^3-4x^2

Frequently Asked Questions (FAQ)

What is the extreme-x^{2/3}(x-5) ?
The extreme-x^{2/3}(x-5) is Minimum(0,0),Maximum(2,3*2^{2/3})