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Popular >

f(x)=x^2sqrt(1-x^2)

Solution

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

Solution

Domain : - 1 \leq x \leq 1

Range : 0 \leq f (x) \leq \frac{2}{3 3}

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

Asymptotes : None

Extreme Points : Minimum (- 1, 0), Maximum (- \frac{2}{3}, \frac{2}{3 3}), Minimum (0, 0), Maximum (\frac{2}{3}, \frac{2}{3 3}), Minimum (1, 0)

+1

Interval Notation

Domain : [- 1, 1]

Range : [0, \frac{2}{3 3}]

Solution steps

Domain of

x^{2} 1 - x^{2} : - 1 \leq x \leq 1

Range of

x^{2} 1 - x^{2} : 0 \leq f (x) \leq \frac{2}{3 3}

Axis interception points of

x^{2} 1 - x^{2} :

X Intercepts

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

Y Intercepts

: (0, 0)

Asymptotes of

x^{2} 1 - x^{2} :

None

Extreme Points of

x^{2} 1 - x^{2} :

Minimum

(- 1, 0),

Maximum

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

Minimum

(0, 0),

Maximum

(\frac{2}{3}, \frac{2}{3 3}),

Minimum

(1, 0)

Popular Examples

derivative of f(x)=x^3-3x+5 derivative of

f (x) = x^{3} - 3 x + 5

derivative of f(x)=(cos(x)+4)/(1-sin(x))derivative of

f (x) = \frac{cos ( x ) + 4}{1 - sin ( x )}

integral of 1/(C^2)

\int \frac{1}{C ^{2}} d C

tangent of f(x)=2\sqrt[3]{x},\at x=8 tangent of

(dx)/(dt)=((e^t-e^{-t}))/(3+x)

\frac{d x}{d t} = \frac{( e ^{t} - e ^{- t} )}{3 + x}

Frequently Asked Questions (FAQ)

What is the f(x)=x^2sqrt(1-x^2) ?
The f(x)=x^2sqrt(1-x^2) is