Mathematics - Calculus - Differential - Derivative rules (power, product, quotient) - The Big Three Rules

12 steps: (1) POWER RULE: d/dx[xⁿ] = nxⁿ⁻¹. (2) Examples: d/dx[x³]=3x², d/dx[x⁵]=5x⁴, d/dx[x]=1, d/dx[constant]=0. (3) Works with fractions/negatives: d/dx[x^(1/2)] = (1/2)x^(-1/2) = 1/(2√x). (4) SUM RULE: d/dx[f+g] = f'+g'. Differentiate term by term. (5) CONSTANT MULTIPLE: d/dx[cf] = c·f'. (6) Exa