Implicit Differentiation & Derivative of Log Functions (full lesson) | grade 12 MCV4U | jensenmath

Learn how to use explicit differentiation to differentiate functions where y is not isolated. I then teach the derivative rules for log functions.

[thedeathofbirth]

Emanuell, What makes you confused is the way you have written the formula.d/dx [ln(f(x)] = f'(x)/f(x) but if we are having a logarithm with any base but base (e) the in the denominator you must multiply the argument of the log to natural logarithm of whatever base you have 2, 3, 6.5, etc etc

[emanuellandeholm]

This has been keeping me up for a couple of nights: When does differentiation commute with taking the natural logarithm?

d/dx ( ln f(x) ) = ln ( d/dx f(x) )

I get a horrible mess of a nonlinear DE to solve.