Mr. Integral
Math notes/Calculus I/The Derivative

Product and Quotient Rules — Cheat sheet

CHEAT SHEET   ·   FREE

Choose “Save as PDF” in the print dialog.
On this page

Core rule

(uv)′=u′v+uv′,(uv)'=u'v+uv', (u/v)′=u′v−uv′v2.(u/v)'=\frac{u'v-uv'}{v^2}.

Watch for

The quotient denominator must be nonzero. Keep the subtraction order and square the whole denominator. Expanding or dividing first can simplify the calculation.