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Popular >

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

Solution

y = 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

f(x)=x^4-2x^2+2

f (x) = x^{4} - 2 x^{2} + 2

y = \frac{7}{9} x + \frac{100}{9}

y=arccot(sqrt(x))

y = arccot (x)

f (x) = x^{2} - 5 x - 2

f(x)=sqrt(x-3)+2

f (x) = x - 3 + 2

Frequently Asked Questions (FAQ)

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