Step 1: Simplify and look for algebraic rewrites.
This is your new version of Option 1 from limits. This means it is the first thing you will always want to do before you start actually applying a derivative rule. You must ensure that the equation is ready to have a derivative taken.
Step 2: Identify your primary rule as the quotient rule.
Step 3: Label your top SOMETHING hi , then label the bottom SOMETHING low .
Step 4: Break the problem up into two these two bite-size problems.
and
Step 5: Take the derivatives of those two bite-size problems to find your dhi and your dlow .
Step 6: Bring it all back together following the quotient rulerecipe: .