Linearity of the derivative (derivative of sums of functions).

18.01

*Single Variable Calculus*, Fall 2005

Prof. Jason Starr

**Course Material Related to This Topic:**

Product rule for derivatives. Gives proof sketch.

18.01

*Single Variable Calculus*, Fall 2005

Prof. Jason Starr

**Course Material Related to This Topic:**

Quotient rule for derivatives, derived using product rule.

18.01

*Single Variable Calculus*, Fall 2005

Prof. Jason Starr

**Course Material Related to This Topic:**

Product rule used to find a derivative.

18.01

*Single Variable Calculus*, Fall 2005

Prof. Jason Starr

**Course Material Related to This Topic:**

Finding the derivative of a product of functions using logarithms to convert into a sum of functions. Includes worked example.

18.01

*Single Variable Calculus*, Fall 2005

Prof. Jason Starr

**Course Material Related to This Topic:**

Differential notation for derivatives is explained and common rules for derivatives are listed in differential notation. Includes an example of a derivative taken in differential notation.

18.01

*Single Variable Calculus*, Fall 2005

Prof. Jason Starr

**Course Material Related to This Topic:**

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.

18.013A

*Calculus with Applications*, Spring 2005

Prof. Daniel J. Kleitman

**Course Material Related to This Topic:**

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

18.01

*Single Variable Calculus*, Fall 2005

Prof. Jason Starr

**Course Material Related to This Topic:**

- Complete practice problem 4 on pages 2–3
- Check solution to practice problem 4 on pages 9–10

Four-part question involving the evaluation of three derivatives and a limit.

18.01

*Single Variable Calculus*, Fall 2006

Prof. David Jerison

**Course Material Related to This Topic:**

- Complete exam problem 1 on page 1
- Check solution to exam problem 1 on page 1

18.01

*Single Variable Calculus*, Fall 2006

Prof. David Jerison

**Course Material Related to This Topic:**

Two questions finding the derivatives of functions.

- Complete exam problems 1 to 2 on page 1
- Check solution to exam problems 1 to 2 on page 1

Finding the derivatives of four functions.

- Complete exam problem 2 on page 1
- Check solution to exam problem 2 on page 1

Three derivatives to be evaluated using a variety of techniques.

- Complete exam problem 1 on page 1
- Check solution to exam problem 1 on page 1

Three questions which involve evaluating five differentials and twenty indefinite integrals using a range of techniques.

18.01

*Single Variable Calculus*, Fall 2006

Prof. David Jerison

**Course Material Related to This Topic:**

- Complete exam problems 3A–1 to 3A–3 on page 21
- Check solution to exam problems 3A–1 to 3A–3 on pages 37–9