SOLUTION: Im having trouble finding the derivative of y= 6e^-(x-3)^2 Thanks for your help!!

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Question 827814: Im having trouble finding the derivative of y= 6e^-(x-3)^2
Thanks for your help!!
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
matrix%282%2C1%2C%22%22%2Cy%29matrix%282%2C1%2C%22%22%2C%22%22=%22%22%29matrix%282%2C1%2C%22%22%2C6e%5E%28-%28x-3%29%5E2%29%29

The rules for finding the derivative of 
a constant times a power of 'e' are

1. Copy it over:

matrix%282%2C1%2C%22%22%2C6e%5E%28-%28x-3%29%5E2%29%29

2. Multiply by the derivative of the exponent.

The exponent is -%28x-3%29%5E2. 
Its derivative is -2%28x-3%29.
Multiply by that:

matrix%282%2C1%2C%22%22%2C%28dy%29%2F%28dx%29%29matrix%282%2C1%2C%22%22%2C%22%22=%22%22%29matrix%282%2C1%2C%22%22%2C6e%5E%28-%28x-3%29%5E2%29%2A%28-2%28x-3%29%29%29

Simplify:

matrix%282%2C1%2C%22%22%2C%28dy%29%2F%28dx%29%29matrix%282%2C1%2C%22%22%2C%22%22=%22%22%29matrix%282%2C1%2C%22%22%2C-12%28x-3%29e%5E%28-%28x-3%29%5E2%29%29 

Edwin