{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

chapter4Problems

# chapter4Problems - Chapter 4 The Derivative 4.1 You are...

This preview shows pages 1–3. Sign up to view the full content.

Chapter 4 The Derivative 4.1 You are given the following information about the signs of the derivative of a function, f ( x ). Use this information to sketch a (very rough) graph of the function for - 3 < x < 3. x -3 -2 -1 0 1 2 3 f prime ( x ) 0 + 0 - 0 + + 4.2 You are given the following information about the the values of the derivative of a function, g ( x ). Use this information to sketch (very rough) graph the function for - 3 < x < 3. x -3 -2 -1 0 1 2 3 g prime ( x ) -1 0 2 1 0 -1 -2 4.3 What is the slope of the tangent line to the function y = f ( x ) = 5 x + 2 when x = 2? when x = 4 ? How would this slope change if a negative value of x was used? Why? 4.4 Find the equation of the tangent line to the function y = f ( x ) = | x + 1 | at: (a) x = - 1, (b) x = - 2, (c) x = 0. If there is a problem finding a tangent line at one of these points, indicate what the problem is. v.2005.1 - September 4, 2009 1

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Math 102 Problems Chapter 4 4.5 A function f ( x ) has as its derivative f prime ( x ) = 2 x 2 - 3 x (a) In what regions is f increasing or decreasing? (b) Find any local maxima or minima. (c) Is there an absolute maximum or minimum value for this function? 4.6 Sketch the graph of a function f ( x ) whose derivative is shown in Figure 4.1. Is there only one way to draw this sketch? What difference might occur between the sketches drawn by two different students?
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern