Derivative Rules

Derivative Rules

A list of common derivative rules is given below.

Four basic derivative rules: constant (d/dx of α = 0), scalar multiple, sum (d/dx(u+v) = du/dx + dv/dx), and difference.

Five derivative rules: Power, Product, Quotient, Reciprocal, and Chain, shown with formulas using standard calculus notation...

Trig and inverse trig derivative rules: d/dx sin u, cos u, tan u, cot u, sec u, csc u, and arcsin, arccos, arctan, arccot,...

Derivative rules 12–14: exponential d/dx(e^u)=e^u·du/dx and d/dx(a^u)=a^u·ln(a)·du/dx; log d/dx(ln u)=(1/u)·du/dx and...