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Popular >

f(x)=x^3e^{4x}

Solution

f (x) = x^{3} e^{4 x}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{27}{64 e ^{3}}

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- \frac{3}{4}, - \frac{27}{64 e ^{3}}), Saddle (0, 0)

+1

Solution steps

Domain of

x^{3} e^{4 x} : - \infty < x < \infty

Range of

x^{3} e^{4 x} : f (x) \geq - \frac{27}{64 e ^{3}}

Axis interception points of

x^{3} e^{4 x} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x^{3} e^{4 x} :

Horizontal

: y = 0

Extreme Points of

x^{3} e^{4 x} :

Minimum

(- \frac{3}{4}, - \frac{27}{64 e ^{3}}),

Saddle

(0, 0)

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