18.01SC | Fall 2010 | Undergraduate

# Single Variable Calculus

Part A: Definition and Basic Rules

## Problem Set 1

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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
1A Graphing 1b, 2b, 3a, 3b, 3e, 6b, 7b
1B Velocity and rates of change 1a, 1b, 1c
1C Slope and derivative 1a, 3a, 3b, 3e, 4a, 4b, 5, 6, 2
1D Limits and continuity 1a, 1c, 1d, 1f, 1g, 3a, 3c, 3d, 3e, 6a, 8a
1E Differentiation formulas, polynomials, products, quotients 1a, 1c, 2b, 3, 4b, 5a, 5c
1J Trigonometric functions 1e, 2
1F Chain rule, implicit differentiation 1a, 1b, 2, 6, 7b, 7c
1J Trigonometric functions, continued 1a, 1k, 1m
1G Higher derivatives 1b, 1c, 5a

#### Solutions

Solutions to Differentiation problems (PDF)

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

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## Course Info

Fall 2010
##### Learning Resource Types
Exams with Solutions
Lecture Notes
Lecture Videos
Problem Sets with Solutions
Simulations
Recitation Videos