Let's say I setup the equation:(adsbygoogle = window.adsbygoogle || []).push({});

[tex] f(x) = f(x) [/tex]

Now, let's say I add two independent real-valued variables, a and b, to the equation, where either a is a function of b and x or b is a function of a and x, making the statement true at all times:

[tex] f(x) = af(x+b)[/tex]

Finding a' and b' we have:

[tex] a' = -\frac{f'(x+b)f(x)}{f(x+b)^2}[/tex]

[tex] b' = -f^{-1}'(\frac{f(x)}{a})\frac{f(x)}{a}[/tex]

My question is, is there a distinct relationship between a' and b'?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Is there a relationship between

**Physics Forums | Science Articles, Homework Help, Discussion**