Calculus Book: pp 130-142

Question 1

chain rule

Answer 1

• a rule for differentiating compositions of functions. In the following discussion and solutions the derivative of a function h(x) will be denoted by or h’(x) . Most problems are average. A few are somewhat challenging. The chain rule states formally that.

Question 2

implicit differentiation

Answer 2

• nothing more than a special case of the well-known chain rule for derivatives. The majority of differentiation problems in first-year calculus involve functions y written EXPLICITLY as functions of x . For example, if. , then the derivative of y is.