# Combining functions worksheet with answers

Calculus I, Section 1. Most are from Khan Academy. Videos do not cover all topics- Use your book and Khan Academy videos for the other topics. Worksheet Answers Quiz 1. Worksheet Solutions Quiz 2. Implicit Differentiation Implicit Differentiation part 2 More implicit differentiation More chain rule and implicit differentiation intuition Trig implicit Differentiation Example Calculuc: In-class Problems Worksheet Solutions Quiz 3.

Derivatives of inverse functions and logs. Worksheet Solutions Quiz 4 Quiz 4 Solutions. Introduction to rate-of-change problems Rates-of-change part 2 Ladder rate-of-change problem. Maximum and minimum values on an interval. Write 3 test-like questions- each on a different topic from chap. Bring 5 copies of these problems to class, along with writen solutions for these problems that will be turned in. If you've done the symbolic composition the composition with the formulas correctly, you'll get the same values either way, regardless of the value you pick for x.

This can be a handy way of checking your work. Here's another symbolic example: There is something you should note from these two symbolic examples. Look at the results I got: This is true in general; you should assume that the compositions f o g x and g o f x are going to be different.

While the following is true: That is, you cannot reverse the order in composition and expect to end up with the correct result. Composition is not flexible like multiplication, and is an entirely different process.

Do not try to multiply functions when you are supposed to be plugging them into each other. You can use the Mathway widget below to practice function composition. Try the entered exercise, or type in your own exercise. Then click the "paper-airplane" button to compare your answer to Mathway's. Or skip the widget and continue with the lesson.

Clicking on "Tap to view steps" on the widget's answer screen will take you to the Mathway site for a paid upgrade. Accessed [Date] [Month]