The derivative of f(x)*g(x)/h(x)

  • #1
What is the derivative rule for a function times another function divided by another function?
 

Answers and Replies

  • #2
Pengwuino
Gold Member
4,989
16
Just treat f(x)*g(x) as one function, say v(x). So you have the derivative of [tex]{{v(x)} \over {h(x)}}[/tex] which you differentiate like normal. When you differentiate v(x), you'll simply have a product rule to deal with.
 
  • #3
mathman
Science Advisor
7,942
496
It is easiest to do in two steps:
[(fg)'h - fgh']/h2 = [f'gh + fg'h - fgh']/h2
 
  • #4
Thank you, I was trying to verify if that worked by doing it both ways. I figured out my problem. I had the signs on the v(x)/h(x) derivative rule switched.
 

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