Hoe do you differentiate #f(x)=ln(1/x^2) - ln(1/x^3) #?
1 Answer
By using logarithmic properties to create one natural log, then using
Explanation:
The derivative of a log
For the sake of ease, I'm going to change the equation to
So we're going to go through each term in the equation and take the derivative of it.
The derivative of
The derivative of
Now that we have our derivatives of each term, let's go back to our equation.
Now, that is the correct answer, but after finishing this problem, I realized that I worked hard, and not smart. This problem becomes a whole lot easier when we implement the log rules, specifically
So implementing this...
And very simply, the derivative of