What is the derivative of #e^x/sqrt(2)#?

1 Answer
KillerBunny
Apr 3, 2018

#e^x/sqrt(2)#

Explanation:

Since you can write #e^x/sqrt(2)# as #e^x* 1/sqrt(2)#, and you can factor out multiplicative numbers, you have

#d/dx e^x/sqrt(2) = d/dx e^x*1/sqrt(2) = 1/sqrt(2) * d/dx e^x#

And since #e^x# remains unchanged when derived, we have

#1/sqrt(2) * d/dx e^x = 1/sqrt(2) * e^x = e^x/sqrt(2)#

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