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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

X Intercepts : (0, 0), (3^{\frac{3}{4}}, 0), (- 3^{\frac{3}{4}}, 0), Y Intercepts : (0, 0)

Asymptotes : None

Extreme Points : Maximum (- 1, 2), Minimum (0, 0), Maximum (1, 2)

+1

Solution steps

Domain of

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

Axis interception points of

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

X Intercepts

: (0, 0), (3^{\frac{3}{4}}, 0), (- 3^{\frac{3}{4}}, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

None

Extreme Points of

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

Maximum

(- 1, 2),

Minimum

(0, 0),

Maximum

(1, 2)

Popular Examples

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f (x) = \frac{1}{( e ^{x} + x )}

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

f (x) = - 3 x^{2} - 3 x + 6

g(x)=(-x^2)/(4+7(-2.4))

g (x) = \frac{- x ^{2}}{4 + 7 ( - 2.4 )}

f (x) = x^{2} - 3 x - 58

y=10+9x-3x^2-x^3

y = 10 + 9 x - 3 x^{2} - x^{3}

Frequently Asked Questions (FAQ)

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