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Popular >

y=(3x^2-4x)e^{5x}

Solution

y = (3 x^{2} - 4 x) e^{5 x}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq \frac{2 e ^{\frac{7 + 109}{3}} ( 3 - 109 )}{25}

X Intercepts : (\frac{4}{3}, 0), (0, 0), Y Intercepts : (0, 0)

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (\frac{7 - 109}{15}, \frac{2 e ^{\frac{7 - 109}{3}} ( 3 + 109 )}{25}), Minimum (\frac{7 + 109}{15}, \frac{2 e ^{\frac{7 + 109}{3}} ( 3 - 109 )}{25})

+1

Solution steps

Domain of

(3 x^{2} - 4 x) e^{5 x} : - \infty < x < \infty

Range of

(3 x^{2} - 4 x) e^{5 x} : f (x) \geq \frac{2 e ^{\frac{7 + 109}{3}} ( 3 - 109 )}{25}

Axis interception points of

(3 x^{2} - 4 x) e^{5 x} :

X Intercepts

: (\frac{4}{3}, 0), (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

(3 x^{2} - 4 x) e^{5 x} :

Horizontal

: y = 0

Extreme Points of

(3 x^{2} - 4 x) e^{5 x} :

Maximum

(\frac{7 - 109}{15}, \frac{2 e ^{\frac{7 - 109}{3}} ( 3 + 109 )}{25}),

Minimum

(\frac{7 + 109}{15}, \frac{2 e ^{\frac{7 + 109}{3}} ( 3 - 109 )}{25})

Popular Examples

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\int 2 sin (3 x) cos (3 x) d x

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\int \frac{1}{9 - x ^{2}} d x

integral of (x^2)arctan(7x)

\int (x^{2}) arctan (7 x) d x

integral of 2x^2ln(x)

\int 2 x^{2} ln (x) d x

derivative of f(x)=(1+7x^2)(x-x^2)derivative of

f (x) = (1 + 7 x^{2}) (x - x^{2})

Frequently Asked Questions (FAQ)

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