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Popular >

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

Solution

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

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{1}{e ^{2}}

X Intercepts : (- \frac{1}{2}, 0), Y Intercepts : (0, 1)

Asymptotes : Horizontal y = 0

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

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

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

Range of

e^{2 x} + 2 e^{2 x} x : f (x) \geq - \frac{1}{e ^{2}}

Axis interception points of

e^{2 x} + 2 e^{2 x} x :

X Intercepts

: (- \frac{1}{2}, 0),

Y Intercepts

: (0, 1)

Asymptotes of

e^{2 x} + 2 e^{2 x} x :

Horizontal

: y = 0

Extreme Points of

e^{2 x} + 2 e^{2 x} x :

Minimum

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

Graph

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\frac{\partial}{\partial x} (arctan (\frac{y}{x}))

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Frequently Asked Questions (FAQ)

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