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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : - \infty < f (x) < \infty

X Intercepts : (0, 0), (5, 0), Y Intercepts : (0, 0)

Asymptotes : None

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

+1

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0), (5, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(0, 0),

Minimum

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

Popular Examples

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f (x) = 2 x^{3} + 7 x^{2} + 2 x - 3

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f (x) = sec (x) - csc (x)

g (x) = - 2 x

f (x) = 7 x + 13

f(x)=(-x^2-2x+8)/(x^2)

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

Frequently Asked Questions (FAQ)

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