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

  • Thread starter surfhare75
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  • #1
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
 

Answers and Replies

  • #2
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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)
 
  • #3
HallsofIvy
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You don't have a "quotient"! You just have ex multiplied by a CONSTANT.
 
  • #4
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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
 
  • #5
HallsofIvy
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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.
 

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