Derivative of e^x with Exponential Functions - Homework Question and Solution

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Homework Statement


what is the derivative of e^[(-X^2-2x+1)/2]


Homework Equations





The Attempt at a Solution



Is this right?

= -(x+1)e^[(-x²-2x+1)]
 
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n.a.s.h said:

Homework Statement


what is the derivative of e^[(-X^2-2x+1)/2]


Homework Equations





The Attempt at a Solution



Is this right?

= -(x+1)e^[(-x²-2x+1)]

No. It's -(x+1)e^[(-x²-2x+1)/2]. I'm going to guess that's what you meant to write.
 
Use this:

[d/dx] e^f(x) = e^f(x) [d/dx] f(x)
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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