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Popular >

f(x)=(x^2)/(3^{x^2)}

Solution

f (x) = \frac{x ^{2}}{3 ^{x^{2}}}

Solution

Domain : - \infty < x < \infty

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

Asymptotes : None

Extreme Points : Maximum (- \frac{1}{ln ( 3 )}, \frac{1}{3 ^{\frac{1}{l n ( 3 )}} ln ( 3 )}), Minimum (0, 0), Maximum (\frac{1}{ln ( 3 )}, \frac{1}{3 ^{\frac{1}{l n ( 3 )}} ln ( 3 )})

+1

Interval Notation

Domain : (- \infty, \infty)

Solution steps

Domain of

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

Axis interception points of

\frac{x ^{2}}{3 ^{x^{2}}} :

X Intercepts

: (0, 0),

Y Intercepts

: (0, 0)

Asymptotes of

\frac{x ^{2}}{3 ^{x^{2}}} :

None

Extreme Points of

\frac{x ^{2}}{3 ^{x^{2}}} :

Maximum

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

Minimum

(0, 0),

Maximum

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

Popular Examples

y=log_{10}(sin(x)+5)

y = lo g_{10} (sin (x) + 5)

f(x)=16x^3+16x^2-x-1

f (x) = 16 x^{3} + 16 x^{2} - x - 1

f(x)=422-112a+1

f (x) = 422 - 112 a + 1

f (x) = 1 + 8 x^{2}

y = - 2 x^{2} - 8 x - 4

Frequently Asked Questions (FAQ)

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