Chain Rule for derivatives, including definition of composite functions and a worked example.

Implicit differentiation defined.

Implicit differentiation demonstrated through an example.

Rules for the derivatives of sums and products of functions, as well as the chain rule and rules for finding the derivative of an inverse function.

Two part question that involves applying and explaining the chain rule for derivatives.

Solution (PDF) Page 7

Two part question involving a bank's liability from a loan and a savings account, each with continuously compounded interest.

Solution (PDF) Pages 8 to 9

Taking the first and second derivatives of a function involving an exponential and a cosine.

Solution (PDF) Pages 9 to 10

Finding the equation of a tangent line to the graph of a function that is defined with an implicit equation.

Solution (PDF) Pages 4 to 5

Two questions finding the derivatives of functions.

Solution (PDF)^# Page 1

Finding the derivative of the inverse sine function using implicit differentiation.

Solution (PDF)^# Page 1

Finding the derivative of an implicitly defined function.

Solution (PDF)^# Page 1

Eight questions which involve finding derivatives using the Chain rule and the method of implicit differentiation.

Solution (PDF - 4.0 MB) Pages 10 to 11