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Popular Functions >

y=x^{5/3}-x^{2/3}

Solution

y = x^{\frac{5}{3}} - x^{\frac{2}{3}}

Solution

Domain : - \infty < x < \infty

X Intercepts : (0, 0), (1, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (0, 0), Minimum (\frac{2}{5}, (\frac{2}{5})^{\frac{5}{3}} - (\frac{2}{5})^{\frac{2}{3}})

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

x^{\frac{5}{3}} - x^{\frac{2}{3}} : - \infty < x < \infty

Axis interception points of

x^{\frac{5}{3}} - x^{\frac{2}{3}} :

X Intercepts

: (0, 0), (1, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{\frac{5}{3}} - x^{\frac{2}{3}} :

None

Extreme Points of

x^{\frac{5}{3}} - x^{\frac{2}{3}} :

Maximum

(0, 0),

Minimum

(\frac{2}{5}, (\frac{2}{5})^{\frac{5}{3}} - (\frac{2}{5})^{\frac{2}{3}})

Graph

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Frequently Asked Questions (FAQ)

What is the y=x^{5/3}-x^{2/3} ?
The y=x^{5/3}-x^{2/3} is