18.01SC | Fall 2010 | Undergraduate

Single Variable Calculus

Part B: Implicit Differentiation and Inverse Functions

Problem Set 2

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Overview

In this session you will:

  • Do practice problems
  • Use the solutions to check your work

Problem Set

Use Differentiation (PDF) to do the problems below.

Section Topic Exercises
1F Chain rule, implicit differentiation 3, 5, 8a, 8c
1G Higher derivatives 4, 5b

Use Integration Techniques (PDF) to do the problems below.

Section Topic Exercises
5A Inverse trigonometric functions; Hyperbolic functions 1a, 1b, 1c (just sin, cos, sec), 3f, 3g, 3h

Use Differentiation (PDF) to do the problems below.

Section Topic Exercises
1H Exponentials and Logarithms: Algebra 1a, 1b, 2, 3a, 5b
1I Exponentials and Logarithms: Calculus 1c, 1d, 1e, 1f, 1m, 4a

Use Integration Techniques (PDF) to do the problems below.

Section Topic Exercises
5A Inverse trigonometric functions; Hyperbolic functions 5a, 5b, 5c

Solutions

Solutions to Differentiation problems (PDF)

Solutions to Integration Techniques problems (PDF)

This problem set is from exercises and solutions written by David Jerison and Arthur Mattuck.

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Course Info

Instructor
Departments
As Taught In
Fall 2010
Learning Resource Types
Exams with Solutions
Lecture Notes
Lecture Videos
Problem Sets with Solutions
Simulations
Recitation Videos