(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

While I was in school I thought to see what a function whose derivative is always perpendicular to another functions derivative would look like, so for example for X^2 we have -ln(x)/2.

2. Relevant equations

Well all those integration tables I guess

3. The attempt at a solution

Obviously their product is -1, so if were looking for g(x),

g(x) = ∫(-1/f'(x))dx

However, I don't seem to be able to integrate this.

I need to have a ln(f'(x)), who's integral is f''(x)/f'(x), but dividing by f''(x) or try to subtract it just makes things much tougher. This isn't homework, but it would be very nice if I was to be helped. Please don't give solution, just clue.

Thanks, Bonaparte

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# Homework Help: Integration of composite derivative of function

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