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Popular Calculus >

f(x)=5x^2e^{3x}

Solution

f (x) = 5 x^{2} e^{3 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{2}{3}, \frac{20}{9 e ^{2}}), Minimum (0, 0)

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (0, \infty)

Solution steps

Domain of

5 x^{2} e^{3 x} : - \infty < x < \infty

Range of

5 x^{2} e^{3 x} : f (x) > 0

Axis interception points of

5 x^{2} e^{3 x} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

5 x^{2} e^{3 x} :

Horizontal

: y = 0

Extreme Points of

5 x^{2} e^{3 x} :

Maximum

(- \frac{2}{3}, \frac{20}{9 e ^{2}}),

Minimum

(0, 0)

Graph

Popular Examples

tangent of y=(1+2x)^2,(3,49)

inverse oflaplace s/((s+1)^2+4)

integral of 5cos^3(2x)

integral from 0 to 1 of 1/(4+x^2)

Frequently Asked Questions (FAQ)

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