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Popular >

y=(5-x^2)^5

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq 3125

X Intercepts : (5, 0), (- 5, 0), Y Intercepts : (0, 3125)

Asymptotes : None

Extreme Points : Saddle (- 5, 0), Maximum (0, 3125), Saddle (5, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, 3125]

Solution steps

Domain of

(5 - x^{2})^{5} : - \infty < x < \infty

Range of

(5 - x^{2})^{5} : f (x) \leq 3125

Axis interception points of

(5 - x^{2})^{5} :

X Intercepts

: (5, 0), (- 5, 0),

Y Intercepts

: (0, 3125)

Asymptotes of

(5 - x^{2})^{5} :

None

Extreme Points of

(5 - x^{2})^{5} :

Saddle

(- 5, 0),

Maximum

(0, 3125),

Saddle

(5, 0)

Popular Examples

integral of sqrt(x^2+6x+13)

\int x^{2} + 6 x + 13 d x

tangent of f(x)= 1/(x^3),\at x=1 tangent of

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

(\partial)/(\partial x)(y^6sin(5x))

\frac{\partial}{\partial x} (y^{6} sin (5 x))

derivative of arctan(4/x)derivative of

arctan (\frac{4}{x})

(dy}{dx}+y=\frac{e^x)/y

\frac{d y}{d x} + y = \frac{e ^{x}}{y}

Frequently Asked Questions (FAQ)

What is the y=(5-x^2)^5 ?
The y=(5-x^2)^5 is