- #1
in the rye
- 83
- 6
Hey,
In my class we just learned about logarithmic differentiation. I can see this being useful when taking the derivative of a complex function since it could be messy. But, I tried it on simpler equations as well. Everything I tried it on it seemed to work. Are there ever instances that it does not work?
To make sure we are using the same definition of logarithmic differentiation, I simply mean taking the log of both sides of an equation before taking its derivative. So where:
y = x2
ln y = ln (x2)
1 / y * y' = 1 / x2 * 2x
y' = 2y / x
y' = 2x
Certainly just taking the derivative of this is easier, but it's just an example.
In my class we just learned about logarithmic differentiation. I can see this being useful when taking the derivative of a complex function since it could be messy. But, I tried it on simpler equations as well. Everything I tried it on it seemed to work. Are there ever instances that it does not work?
To make sure we are using the same definition of logarithmic differentiation, I simply mean taking the log of both sides of an equation before taking its derivative. So where:
y = x2
ln y = ln (x2)
1 / y * y' = 1 / x2 * 2x
y' = 2y / x
y' = 2x
Certainly just taking the derivative of this is easier, but it's just an example.