The 1st and 2nd derivative

1. Jul 29, 2007

T.Engineer

find the 1st and 2nd derivative of the following equation

-2z*e^-(z^2)
step by step.
Thanks alot!

2. Jul 29, 2007

Any ideas on this one? if this is a function of z, and you're differentiating with respect to z, does the product rule sound familiar?

3. Jul 29, 2007

T.Engineer

Ok, I get it
it is -2Z (-2z)e^-(z^2) - [e^-(z^2)*(-2)]
and then:
4z^2 * e^-(z^2) + 2e^-(z^2)
Thanks alot!!!!

4. Jul 29, 2007

CompuChip

Yep, that's the way to go.
But are you sure about that minus sign?
Can you quote the product rule?

5. Jul 29, 2007

T.Engineer

Oh, I am so sorry it is
-2Z (-2z)e^-(z^2)+ [e^-(z^2)*(-2)]
So, we will have
4z^2*e^-(z^2)-2e^-(z^2)

6. Jul 29, 2007

rhymes116

that looks right. Remember, (first) *(derivative of the second) + (second) * (derivative of first). Of course you can change the order, same answer.

7. Jul 29, 2007

T.Engineer

thanks alot for all!!!!