# Partial derivative + Integration

1. Feb 1, 2010

### ronaldoshaky

1. The problem statement, all variables and given/known data

Part 1: I am trying to compute the partial derivative of exp (-ikx - ax^2) with respect to x

Part 2: i am trying to integrate, int (-ik - 2ax)*exp(-2ax^2) dx, with limits infinity and
- infinity

2. Relevant equations

part 1: see solution

part 2: i think integral of exp(-x^2)= sqrt(pi) should be used here.

3. The attempt at a solution

part 1: I worked out the partial derivative. I am not sure if its right.
(-ik - 2ax)*exp(-ikx - ax^2)

part 2: should i use integration by parts here. I dont know how to manipulate the expression.
can you multiply the power of an exponential [i.e.-2ax^2] in exp(-2ax^2) by 1/2a.