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Popular >

y=3x^2e^{3x}

Solution

y = 3 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{4}{3 e ^{2}}), Minimum (0, 0)

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Interval Notation

Domain : (- \infty, \infty)

Range : (0, \infty)

Solution steps

Domain of

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

Range of

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

Axis interception points of

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

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

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

Horizontal

: y = 0

Extreme Points of

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

Maximum

(- \frac{2}{3}, \frac{4}{3 e ^{2}}),

Minimum

(0, 0)

Popular Examples

f(x)=x^3cos(5x)

f (x) = x^{3} cos (5 x)

f(x)=3x^2-6x-10

f (x) = 3 x^{2} - 6 x - 10

y = ∣ x - 4 ∣ - 2

f(x)= 5/(x^2+2x-10)

f (x) = \frac{5}{x ^{2} + 2 x - 10}

f(x)=x-16/3 x^3

f (x) = x - \frac{16}{3} x^{3}

Frequently Asked Questions (FAQ)

What is the y=3x^2e^{3x} ?
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