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Popular >

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

Solution

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

Solution

Domain : - 1 \leq x \leq 1

Range : 1 \leq f (x) \leq \frac{π}{2}

Y Intercepts : (0, 1)

Asymptotes : None

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

+1

Interval Notation

Domain : [- 1, 1]

Range : [1, \frac{π}{2}]

Solution steps

Domain of

x arcsin (x) + 1 - x^{2} : - 1 \leq x \leq 1

Range of

x arcsin (x) + 1 - x^{2} : 1 \leq f (x) \leq \frac{π}{2}

Axis interception points of

x arcsin (x) + 1 - x^{2} :

Y Intercepts

: (0, 1)

Asymptotes of

x arcsin (x) + 1 - x^{2} :

None

Extreme Points of

x arcsin (x) + 1 - x^{2} :

Maximum

(- 1, \frac{π}{2}),

Minimum

(0, 1),

Maximum

(1, \frac{π}{2})

Popular Examples

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f (x) = x^{3} - x^{2} - 8 x + 12

f(x)=sqrt(4-2x)

f (x) = 4 - 2 x

y = cos^{2} (3 x)

f(x)=(x^2-4)/(x^2-5x+6)

f (x) = \frac{x ^{2} - 4}{x ^{2} - 5 x + 6}

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

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

Frequently Asked Questions (FAQ)

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