textbook-theory · English
Differentiation of Polynomials and Rational Functions
Section 3.3 from the open textbook 'Difference Equations to Differential Equations' by Dan Sloughter covers differentiation rules for polynomials and rational functions. The section derives and presents the power rule (d/dx x^n = nx^(n-1)) for positive and negative integer exponents, the constant multiple rule, the sum/difference rule, the quotient rule, and the product rule, with worked examples and practice problems.
differential calculuspolynomial differentiationquotient ruleproduct rule