What's the derivative of {sqrt (2x)} ?

  • Thread starter urbantrained
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  • #1
urbantrained
I'm told that you don't need the product rule, or chain rule, or quotient rule to work it out. Can anyone show the workings as well please...???
 

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  • #2
HallsofIvy
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I don't see anyway to find the derivative of √(2x) without using the chain rule (because of the "2", not the "√").

Write f(x)= (2x)1/2 and use the "power" rule:

f'(x)= (1/2)(2x)1/2-1(2x)'
= (1/2)(2x)-1/2(2)
= 1/√(2x)
 
  • #3
Hurkyl
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√(2x) = √2 √x

You can take it from here using the power rule and the scalar multiple rule.
 
  • #4
chroot
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I love when you to Alfred E. Newmans fight it out.

- Warren
 
  • #5
Hurkyl
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You must be mad!
 
  • #6
HallsofIvy
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Hurkyl
ã(2x) = ã2 ãx

You can take it from here using the power rule and the scalar multiple rule.
Oh, well, if want to do it the EASY way!
 

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