Posted by **413** on Tuesday, October 24, 2006 at 1:28pm.

What is the fourth derivative of

f(x)= e^-x^2.

I got f''(x)=-2e^-x^2 + 4x^2e^-x^2

i need some help on find f''''(x)

You have

f(x) = e

^{-x2} then

f'(x) = -2x*e

^{-x2} = -2x*f(x)

f"(x) = (4x

^{2} - 2))e

^{-x2} = f(x)*(4x

^{2} - 2))

f"'(x)= f'(x)*(4x

^{2} - 2)) + f(x)(8x) = -2x*f(x)*(4x

^{2} - 2)) =

f(x)(-8x

^{3} + 12x)

f""(x) = f'(x)*(-8x

^{3} + 12x) + f(x)(-24

^{2} + 12)=

-2x*f(x)(-8x

^{3} + 12x) + f(x)(-24

^{2} + 12) =

f(x)(16x

^{4}-48x + 12)

Be sure to verify my algebra.

## Answer This Question

## Related Questions

- Powers in Math - (5a^3b^4)^2=? *I don't get this one...PLease Help! (5a3b4)2= (5...
- Property of logarithms - Using property of logarithms, how do I prove derivative...
- math-volume - I'm confused with how to solve this problem, so help would be ...
- help - Y^3Y/Y^-2 If you post with the correct word in the Subject line, you'll ...
- Chemistry - Sorry for posting this again, I dont know if the question was ...
- Calculus - Use implicit differentiation to find the slope of the tangent line to...
- Math - If a^3 = x^2 what is a^2y+1 = x^6, solving for y You would have (x2)3 = ...
- algebra 2 - divid 4/x^7 by 12/x^5 I got this far but Got lost can some help me 4...
- mat 117/ algebra - My question is about scientific notations. Here is the ...
- chemistry equation - Write a net ionic equation for the reaction of iron(III)...

More Related Questions