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Lecture Notes
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Section 3, Page 3
Linearity of the derivative (derivative of sums of functions).
Prof. Jason Starr
Concept of Derivative (section 2 of lecture 1)
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Section 4, Page 3
Product rule for derivatives. Gives proof sketch.
Prof. Jason Starr
Concept of Derivative (section 2 of lecture 1)
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PDF
Section 5, Page 3 to page 4
Quotient rule for derivatives, derived using product rule.
Prof. Jason Starr
Product Rule (section 4 of this lecture) and Concept of Derivative (section 2 of lecture 1)
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Section 1, Page 1
Product rule used to find a derivative.
Prof. Jason Starr
Product Rule (section 4 of lecture 3) and derivative of xn (sections 3 and 6 of lecture 3)
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PDF
Section 5, Page 4 to page 5
Finding the derivative of a product of functions using logarithms to convert into a sum of functions. Includes worked example.
Prof. Jason Starr
Rules for Logarithms (section 2 of this lecture) and Product Rule (section 4 of lecture 3)
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PDF
Section 1, Page 1 to page 2
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.
Prof. Jason Starr
Concept of Derivative (section 2 of lecture 1)
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Online Textbook Chapter
Document
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.
Prof. Daniel J. Kleitman
Differentiability (OT6.1)
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Practice Problem
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Problem 4 (page 2 to page 3)
Taking the first and second derivatives of a function involving an exponential and a cosine.
Prof. Jason Starr
None
Solution (PDF) Pages 9 to 10.
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Exam Questions
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Problem 1 (page 1)
Four-part question involving the evaluation of three derivatives and a limit.
Prof. David Jerison
None
Solution (PDF)# Page 1
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Problem 1 (page 1) to problem 2 (page 1)
Two questions finding the derivatives of functions.
Prof. David Jerison
None
Solution (PDF)# Page 1
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Problem 2 (page 1)
Finding the derivatives of four functions.
Prof. David Jerison
None
Solution (PDF)# Page 1
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PDF
Problem 1 (page 1)
Three derivatives to be evaluated using a variety of techniques.
Prof. David Jerison
None
Solution (PDF)# Page 1
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PDF - 2.2 MB
Problem 3A-1 (page 21) to problem 3A-3 (page 21)
Three questions which involve evaluating five differentials and twenty indefinite integrals using a range of techniques.
Prof. David Jerison
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