**MATH 260 Week 5 Derivatives of Logarithmic & Exponential Functions DeVry**

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#### MATH 260 Week 5 Discussion

This week, we will be exploring exponential and logarithmic functions, as well as L’Hospitals Rule. Here are some questions that we will address. Please post your answers in this thread.

- What are the formulas for the derivatives of e^x and ln(x)?
- How do the formulas change when the base of a logarithm is other than e?
- How can we use these formulas to determine the derivatives of more complex functions involving e^x and ln(x)?
- What role do the rules for expanding logarithmic functions play in making it easier to find derivatives of complex logarithmic functions?
- What is L’Hospitals Rule? What conditions must be met in order to make use of it? How do we use it to find a limit?
- What real-world applications can you find involving exponential and logarithmic functions? Explain how you would use derivatives to explore those applications.

Please use examples from the homework to illustrate your answers.

#### MATH 260 Week 5 Lab

**Instructions**

Please click on the link below to open up the lab. It will be in the form of a MS Word document. Please complete all parts of the lab and note that there are places where you must show the work that you did to reach the answer to a problem.

**Online Note:** There are several ways that you can do this action. If you have Word 2007 or newer version(s), you can use the equation editor located under the Insert tab. If you have a digital camera or a cell phone with a camera, you can take a picture of your handwritten work, upload it to your computer, and from there, submit it. You can scan your handwritten work into your computer and submit it. Finally, only if none of the other methods works for you, you can type directly from the keyboard using parentheses, carats, and other symbols to delineate the pieces of your answers.

#### MATH 260 Week 5 DERIVATIVE OF LOGS/EXP 27.5/27.6

Go to MyMathLab and complete the assignment located there. If you miss any questions, remember that you can rework questions as many times as you’d like. Thus, your goal should be 100% correct for this assignment. Remember to take advantage of the “Show Me An Example” and “Help Me Solve This” links inside of MyMathLab. These links are located immediately to the right of the homework questions.

#### MATH 260 Week 5 L’HOSPITALS + APPLICATIONS 27.7/27.8

Go to MyMathLab and complete the assignment located there. If you miss any questions, remember that you can rework questions as many times as you’d like. Thus, your goal should be 100% correct for this assignment. Remember to take advantage of the “Show Me An Example” and “Help Me Solve This” links inside of MyMathLab. These links are located immediately to the right of the homework questions.

#### MATH 260 Week 5 QUIZ

**Instructions**

**Quiz Week 5—Trigonometric Derivatives**

This is the third of five quizzes you will take in this course. Each quiz will be on the previous week’s material.

- This quiz covers CO 2 and Chapter 27.
- This quiz is worth 20 total points and includes
- four short answer questions worth 4 points each; and
- two multiple choice questions worth 2 points.

- You have 2 hours to finish the quiz.
- When the time limit is reached you will be exited from the exam.