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Popular >

f(x)=x^2e^{4x}

Solution

f (x) = x^{2} e^{4 x}

Solution

Domain : - \infty < x < \infty

Range : f (x) > 0

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

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (- \frac{1}{2}, \frac{1}{4 e ^{2}}), Minimum (0, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (0, \infty)

Solution steps

Domain of

x^{2} e^{4 x} : - \infty < x < \infty

Range of

x^{2} e^{4 x} : f (x) > 0

Axis interception points of

x^{2} e^{4 x} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{2} e^{4 x} :

Horizontal

: y = 0

Extreme Points of

x^{2} e^{4 x} :

Maximum

(- \frac{1}{2}, \frac{1}{4 e ^{2}}),

Minimum

(0, 0)

Popular Examples

derivative of ln(xsec(x))

\frac{d}{d x} (ln (x) sec (x))

(dy)/(dx)=3x^2-xy

\frac{d y}{d x} = 3 x^{2} - x y

integral of x^6cos(x)

\int x^{6} cos (x) d x

derivative of ln(cos(5x))derivative of

ln (cos (5 x))

y^{''}-5y^'+4y=0,y(0)=-5,y^'(0)=3

y^{^{''}} - 5 y^{^{'}} + 4 y = 0, y (0) = - 5, y^{^{'}} (0) = 3

Frequently Asked Questions (FAQ)

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