Find the derivative of e^x / sqrt(2)

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surfhare75
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I must be brain dead ,but I can not seem to compute the derivative of e^x/sqrt2

I am stuck when I used the quotient rule for derivatives
 
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if you're problem is deriv of (e^x)/sqrt2 then try factoring out the sqrt2. If not the quotient rule is (F'G - FG')/(G^2)
 
You don't have a "quotient"! You just have ex multiplied by a CONSTANT.
 
d/dx e^x = e^x

d/dx sqrt(2) = 0

I don't know the english name for this rule but call e^x = u and sqrt(2) = v

d/dx u/v = (u'v-uv')/v^2
 
That would be the "quotient rule" referred to before. However, you don't really need either the product rule or quotient rule when the other "function" is a constant!
If C is a constant, then (Cf(x))'= Cf '(x) and (f(x)/C)'= f'(x)/C. Most people learn those long before (well, maybe a week) before they learn the product rule or quotient rule.
 
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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