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Popular >

f(x)=-e^xx+3e^x

Solution

f (x) = - e^{x} x + 3 e^{x}

Solution

Domain : - \infty < x < \infty

Range : f (x) \leq e^{2}

X Intercepts : (3, 0), Y Intercepts : (0, 3)

Asymptotes : Horizontal y = 0

Extreme Points : Maximum (2, e^{2})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : (- \infty, e^{2}]

Solution steps

Domain of

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

Range of

- e^{x} x + 3 e^{x} : f (x) \leq e^{2}

Axis interception points of

- e^{x} x + 3 e^{x} :

X Intercepts

: (3, 0),

Y Intercepts

: (0, 3)

Asymptotes of

- e^{x} x + 3 e^{x} :

Horizontal

: y = 0

Extreme Points of

- e^{x} x + 3 e^{x} :

Maximum

(2, e^{2})

Popular Examples

integral of (-1)/4 e^{-4x}3x^2

\int \frac{- 1}{4} e^{- 4 x} 3 x^{2} d x

integral of 15(x+2)^4

\int 15 (x + 2)^{4} d x

y^'=y(1-y),y(0)=-5

y^{^{'}} = y (1 - y), y (0) = - 5

sum from n=0 to infinity of 1/((1+n)^2)

n = 0 \sum \infty \frac{1}{( 1 + n ) ^{2}}

derivative of 3cos(3x)

\frac{d}{d x} (3 cos (3 x))

Frequently Asked Questions (FAQ)

What is the f(x)=-e^xx+3e^x ?
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