Function

[Tueseve728]

Consider the function f(x)=xe^-x^2. Apply graphing strategy by following the directions.
1.) State the Domain and x, y intercepts.

2.) Find F prime and F double prime and simplify

3.)Find critical points of f(x)

4.) state the intervals on which f(x) is increasing and decreasing (sign chart)

5.)Find the intervals on which f(x) is concave up/down

6.)Find the inflection points of f(x) that occur at the x-values.

I dont know how to do this thanks so much for your help

 

[pka]

You have posted very standard problems.
What have YOU done towards working them?
Where are you having trouble?
If you show some work, we know how to help.

This is not a homework service.

 

[Tueseve728]

ok thanks

 

[Tueseve728]

i got that the domain is neg infin, infin
the x and intercepts are both (0,0)

I'm stuck with f prime and f double prime I dont know the derivative of e^-x^2. Please help thanks!

 

[stapel]

I dont know the derivative of e^-x^2.

Hint: Chain Rule.

Eliz.

 

[Tueseve728]

-2x(e^-x^2) is this right using the chain rule? thanks and what do i do for the second derivative?

 

[stapel]

-2x(e^-x^2) is this right using the chain rule?

If you mean "Given that f(x) = e^{-x^2}, is it correct that f'(x) equals -2xe^{-x^2}", then the answer is "yes".

what do i do for the second derivative?

Differentiate again.

Eliz.