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Popular >

f(x)=(x^3+2x^2+x)^{1/3}-x

Solution

f (x) = (x^{3} + 2 x^{2} + x)^{\frac{1}{3}} - x

Solution

Domain : - \infty < x < \infty

X Intercepts : (0, 0), (- \frac{1}{2}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- 1, 1), Minimum (- \frac{1}{9}, - \frac{1}{3})

+1

Solution steps

Domain of

(x^{3} + 2 x^{2} + x)^{\frac{1}{3}} - x : - \infty < x < \infty

Axis interception points of

(x^{3} + 2 x^{2} + x)^{\frac{1}{3}} - x :

X Intercepts

: (0, 0), (- \frac{1}{2}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

(x^{3} + 2 x^{2} + x)^{\frac{1}{3}} - x :

None

Extreme Points of

(x^{3} + 2 x^{2} + x)^{\frac{1}{3}} - x :

Maximum

(- 1, 1),

Minimum

(- \frac{1}{9}, - \frac{1}{3})

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Frequently Asked Questions (FAQ)

What is the f(x)=(x^3+2x^2+x)^{1/3}-x ?
The f(x)=(x^3+2x^2+x)^{1/3}-x is