Chapter 2: Q. 2 TB (page 208)
For each function k that follows, find functions f , g, and h so that k = f ◦ g ◦ h. There may be more than one possible answer.
Short Answer
Ifandthen
If and then
If and then
If and then
Chapter 2: Q. 2 TB (page 208)
For each function k that follows, find functions f , g, and h so that k = f ◦ g ◦ h. There may be more than one possible answer.
Ifandthen
If and then
If and then
If and then
All the tools & learning materials you need for study success - in one app.
Get started for freeTaking the limit: We have seen that if f is a smooth function, then This approximation should get better as h gets closer to zero. In fact, in the next section we will define the derivative in terms of such a limit.
.
Use the limit just defined to calculate the exact slope of the tangent line toat
If Katie walked at miles per hour for minutes and then sprinted at miles an hour for minutes, how fast would Dave have to walk or run to go the same distance as Katie did at the same time while moving at a constant speed? Sketch a graph of Katie’s position over time and a graph of Dave’s position over time on the same set of axes.
Use the definition of the derivative to find for each function in Exercises
Find the derivatives of the functions in Exercises 21–46. Keep in mind that it may be convenient to do some preliminary algebra before differentiating.
Use the definition of the derivative to find the equations of the lines described in Exercises 59-64.The line tangent to the graph of at the point
What do you think about this solution?
We value your feedback to improve our textbook solutions.