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Popular >

f(x)=x3^x

Solution

f (x) = x 3^{x}

Solution

Domain : - \infty < x < \infty

Range : f (x) \geq - \frac{1}{3 ^{\frac{1}{l n ( 3 )}} ln ( 3 )}

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

Asymptotes : Horizontal y = 0

Extreme Points : Minimum (- \frac{1}{ln ( 3 )}, - \frac{1}{3 ^{\frac{1}{l n ( 3 )}} ln ( 3 )})

+1

Interval Notation

Domain : (- \infty, \infty)

Range : [- \frac{1}{3 ^{\frac{1}{l n ( 3 )}} ln ( 3 )}, \infty)

Solution steps

Domain of

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

Range of

x 3^{x} : f (x) \geq - \frac{1}{3 ^{\frac{1}{l n ( 3 )}} ln ( 3 )}

Axis interception points of

x 3^{x} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

x 3^{x} :

Horizontal

: y = 0

Extreme Points of

x 3^{x} :

Minimum

(- \frac{1}{ln ( 3 )}, - \frac{1}{3 ^{\frac{1}{l n ( 3 )}} ln ( 3 )})

Popular Examples

(sin^{2} (3 x))^{^{'}}

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\int \frac{5 - 50 x}{9 - 25 x ^{2}} d x

derivative of 3xsin(x^2)

\frac{d}{d x} (3 x sin (x^{2}))

derivative of f(x)=sqrt(2-3x)derivative of

f (x) = 2 - 3 x

integral of-7sec^2(x)

\int - 7 sec^{2} (x) d x

Frequently Asked Questions (FAQ)

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