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Popular >

f(x)=x^{5/3}-x^{2/3}

Solution

f (x) = 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}})

Popular Examples

y=(x^2)/((x+1)^2)

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

f (t) = 1 + t - t^{2}

y = x e^{\frac{x}{2}}

g (x) = 3 x + 3

g (x) = 3 x - 3

Frequently Asked Questions (FAQ)

What is the f(x)=x^{5/3}-x^{2/3} ?
The f(x)=x^{5/3}-x^{2/3} is