Calculus Exercises
- Page ID
- 143113
This page is a draft and is under active development.
\( \newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} } \) \( \newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}} \)\(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\) \(\newcommand{\id}{\mathrm{id}}\) \( \newcommand{\Span}{\mathrm{span}}\) \( \newcommand{\kernel}{\mathrm{null}\,}\) \( \newcommand{\range}{\mathrm{range}\,}\) \( \newcommand{\RealPart}{\mathrm{Re}}\) \( \newcommand{\ImaginaryPart}{\mathrm{Im}}\) \( \newcommand{\Argument}{\mathrm{Arg}}\) \( \newcommand{\norm}[1]{\| #1 \|}\) \( \newcommand{\inner}[2]{\langle #1, #2 \rangle}\) \( \newcommand{\Span}{\mathrm{span}}\)\(\newcommand{\AA}{\unicode[.8,0]{x212B}}\)
- Chapter 3: Derivatives
- 3.1: Defining the Derivative
- 3.2: The Derivative as a Function
- 3.3: Differentiation Rules
- 3.4: Derivatives of Trigonometric Functions
- 3.5: The Chain Rule
- 3.6: Derivatives as Rates of Change
- 3.7: Implicit Differentiation
- 3.8: Derivatives of Inverse Functions
- 3.9: Derivatives of Exponential and Logarithmic Functions
- Chapter 10: Multiple Integration
- 10.1: Double Integrals over Rectangular Regions
- 10.2: Double Integrals over General Regions
- 10.3: Double Integrals in Polar Coordinates
- 10.4: Triple Integrals
- 10.5: Triple Integrals over Cylindrical and Spherical Coordinates
- 10.6: Calculating Centers of Mass and Moments of Inertia
- 10.7: Change of Variables in Multiple Integrals