Read the result
Use the matching card to decide which rule applies before starting algebra. The conditions are as important as the derivative.
Differentiation rules
Derivative Rule Explorer
Search the core derivative rules and see the warning that goes with each one.
Formula
d/dx[f(x)+g(x)] = f'(x)+g'(x), d/dx[f(g(x))] = f'(g(x))g'(x)
Result
Worked substitution
A rule is only useful when the expression really has that structure.
Where it helps
Useful when you know the function family but want a quick rule check.
Common slip
Do not use a derivative table as a symbolic solver. Products, quotients, and chains still need structure.
Try it
Search for log, then compare the plain log rule with the composite log rule.