Question: If f(x) = - I - 2' find f'(3) by using the limit definition of the derivative at r = a. Then find the equation

If f(x) = - I - 2' find f'(3) by using

If f(x) = - I - 2' find f'(3) by using the limit definition of the derivative at r = a. Then find the equation of the tangent line to the curve of f at r = 3. In your solution, make sure to . use the limit definition of the derivative at a = a from Section 2.1 " use correct mathematical notation . show work so I can follow your steps and clearly see your mathematical skills Note: no in-depth explanation is needed for this

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

d 1. [7 pts] If f and g are differentiable functions, then g(a) f (x) - f(x)g (2) dx g(a) (g(ac)) 2 Using the limit definition of the derivatives, prove this derivative rule. Hint: Add and subtract...

NYC College of Technology, CUNY Mathematics Department Spring 2023 MAT 1475 Final Exam Review Problems Revised by Prof. Kostadinov, Prof Africk and Prof Colucci: Fall 2010 through Fall 2015 Revised...

Please Answer Questions 1-7, 9-14, 16-24 (Please type, I can't read a lot of handwriting. Thank you!) 3.3 Exercises SECTION 3.3 DERIVATIVES OF TRIGONOMETRIC FUNCTIONS 197 1-16 Differentiate. 1. f (x)...

Solve 1-14 NYC College of Technology, CUNY Mathematics Department Spring 2023 MAT 1475 Final Exam Review Problems Revised by Prof. Kostadinov, Prof Africk and Prof Colucci: Fall 2010 through Fall...

Supply what is asked in each item. Show your complete solutions. 1. Given f(x) =x- +4x-5. a) Find the derivative for / (x) using limit definition of the derivative [3 points] b) Find the value of...

Please Answer this question correctly. Example question below. Let f be the function given by f (x) = 5x 2. What is the approximation for f (24.95) found by using the line tangent to the graph of f...

1. Answer the following. (a) (6 points) Let f (x) = Vx2 - 2. Calculate f' (x) using the limit definition of the derivative. (b) (6 points) Evaluate the limit Hapter 2 - 1 lim arctan (x) I-+00 2x + 1...

1) a. Use the definition mtan = lim f(x) - f(a) to find the slope of the line tangent to the graph of f at P. X-a x-a b. Determine an equation of the tangent line at P. c. Plot the graph of f and the...

DETAILS Use the function f( x) = _ 2 , find the following. x - 3 (=) Use the limit definition of the derivative to find F '(x). F ( x ) = (b) Find the equation of the tangent line at x=4. 4 DETAILS...

MATH 1431 EMCF 3 Due before 11:59 pm Log into CASA and access the answer sheet by clicking on the EMCF tab. Check the due date from CASA. Choice F is \"None of the above\" on all questions. 1. If f x...

Comparing the fees in 2004 versus those in 2008 and 2012 for General Electric and Fortune 100 companies, does it appear that AS 5 has reduced costs of section 404 compliance?

Find one recent (June 2021- present) economic-related article1 in the media (the Economist, Globe and Mail, National Post, New York Times, etc.,), and attempt to explain parts or all of it using the...

Tick bite is characterized by: Maculopapular rash Smooth papules Sandpaper rash Bull's eye rash

Carow Corporation purchased, as a held-to-maturity investment, $60,000 of the 8%, 5-year bonds of Harrison, Inc. for $65,118, which provides a 6% return. The bonds pay interest semiannually. Prepare...

Mark Twains VISA balance is $1,124.40. He may pay it off in 18 equal end-of-month payments of $75 each. What interest rate is Mark paying?

For its top managers, Worldwide Travel formats its income statement as follows: Worldwide's relevant range is between sales of $245,000 and $364,000. Requirements 1. Calculate the contribution margin...

John Kyler is considering starting a Web-based educational business, e-Prep MBA. He plans to offer a short-course review of accounting for students entering MBA programs. The materials would be...

Douglas Corporation had 120,000 shares of stock outstanding on January 1, 2010. On May 1, 2010, Douglas issued 60,000 shares. On July 1, Douglas purchased 10,000 treasury shares, which were reissued...

Tax Return Problem 7 To be completed after Chapter 8 Required: Use the following information to complete Magdalena Schmitz's 2022 federal income tax return. If any information is missing, use...

1. Discuss the following statements: (a) Its what you are best at that will be your downfall. (b) How can we learn but not learn? (c) Learning to see is different from seeing. (d) Creativity is...

2. In this chapter, the reader should reflect on the following concepts: The trimming effect, vision, steady course paradox, bottom line, prisoners dilemma, social dilemma, CI strategy, CCI strategy,...

3. In what way can preconceptions affect what we perceive in new situations?