Calculus Methods
19 Logarithmic Differentiation
Use this special method of differentiating when you don't
want to use the product rule too many times, or if you have
difficult functions with the variable existing in both the base
and the exponent.
1) Take the natural log of both sides.
2) Split the log up into as many small parts as possible.
3) Take the derivative of both sides. Remember to use the chain
rule on the side with the original function!
4) Multiply both sides of the equation by the original function.
Example
#1: Find 
for the function 
.
1)
2)
3)
4)
Example
#2: Find 
for the function 
.
1)
2)
3)
4)
