textbook-theory · English
Differentiation of Compositions of Functions (Section 3.4)
Section 3.4 of Dan Sloughter's open calculus text 'Difference Equations to Differential Equations,' covering the chain rule for differentiating composite functions with formal proof and worked examples. The section extends power rule differentiation to rational exponents and introduces implicit differentiation, with applications to related rates problems. An 18-problem exercise set reinforces chain rule computation, implicit differentiation, and applied rate-of-change scenarios.
chain ruleimplicit differentiationcalculusdifferentiation