Every problem in the chapter beside the book’s answer, a chapter at a time as you scroll.
Chapter 8: Practice: Applications of Differentiation
15 problems · 42 figuresComparing Linear Approximations to Calculator Computations §8.1 source ↗
Answer
Product of Linear Approximations §8.2 source ↗
Answer
Comparing Quadratic Approximations to Calculator Computations §8.3 source ↗
Answer
Finding a Formula for the Best Degree n Approximation §8.4 source ↗
Answer
Graph Features §8.5 source ↗
Answer
Can Design §8.6 source ↗
Answer
Solving an Optimization Problem using Implicit Differentiation §8.7 source ↗
Answer
Cube Root of x §8.8 source ↗
Answer
Generalizing the Mean Value Theorem – Taylor’s theorem §8.9 source ↗
Answer
| sin(b) − sin(a)| vs. |b − a| §8.10 source ↗
Answer
Using Differentials to Study Population Dynamics §8.11 source ↗
Answer
Exploiting Derivative Rules §8.12 source ↗
Answer
Antiderivative of tan x sec² x §8.13 source ↗
Answer
How to Check Your Answer §8.14 source ↗
Answer
Exponential Growth and Inhibited Growth §8.15 source ↗
Answer
Loading chapter 9…
Exercises and answers are adapted from 18.01SC Single Variable Calculus by Prof. David Jerison, which is free to read and download, and are used under the CC BY-NC-SA 4.0 licence. They are taken from the course’s problem and solution PDFs, cropped as printed, and set for the web, so they may differ slightly from the printed page. This adaptation is released under the same licence and is neither affiliated with nor endorsed by Jerison or MIT OpenCourseWare.