# MATH 260 Week 6 Derivatives of Transcendental Functions DeVry

**MATH 260 Week 6 Derivatives of Transcendental Functions DeVry**

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#### MATH 260 Week 6 Discussion

This week, we will begin exploring antiderivatives and integration. Here are some questions that we will address. Please post your answers in this thread.

- What are antiderivatives? How are they connected to derivatives?
- How do we determine an antiderivative? What formulas can we use?
- What is an indefinite integral? How is it related to antiderivatives?
- Why does the indefinite integral require +c on the end of its solutions? Why is the +c not needed for a definite integral?
- Why is (x+5)^3 a correct anitiderivative of 3(x+5)^2, whereas (2x+5)^3 is not a correct antiderivative of 3(2x+5)^2 ?
- What is the power rule for integration? How do we use it?
- What is a definite integral? How is it connected to area under the curve?
- How do we find area under the curve using Riemann Sums?
- What is the Fundamental Theorem of Calculus? How do we use it to evaluate a definite integral?
- How do we solve an integral using substitution?

Please use examples from your homework to illustrate your answers

#### MATH 260 Week 6 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 6 ANTIDERIVATIVES/INTEGRALS 25.1,2/28.1

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 6 AREA & DEFINITE INTEGRALS 25.3/25.4

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 6 REVIEW** **

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 6 QUIZ

**Instructions**

**Quiz Week 6—Differentiation of Logs, Exponentials, and L’Hospital’s Rule**

This is the fourth 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.