Let f(x) e 2x 5 For any n 0, find a formula for f n (x) and explain why your formula is correct Let f(x) cos(3x) For any n 0, find a formula for f n (x) and explain why your formula is correct Let f(x) 1 (1 x) Find an equation to the tangent line to f(x) at (3,f(3))

Question: Let f(x) = e 2x+5 . For any n 0, find a formula for f n (x) and explain why your formula is correct.

Let f(x) = e ^2x+5 . For any n ≥ 0, find a formula for f ⁿ (x) and explain why your formula is correct.

Let f(x) = cos(3x). For any n ≥ 0, find a formula for f ⁿ(x) and explain why your formula is correct.

Let f(x) = 1/(1-x). Find an equation to the tangent line to f(x) at (3,f(3))

Step by Step Solution

★★★★★

3.35 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To solve the problem lets address each function one by one 1 Function fx e2x5 We are asked to find the n th derivative of fx denoted as fnx Step 1 Dif... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Document Format (2 attachments)

6095653c1e182_25829.pdf

180 KBs PDF File

6095653c1e182_25829.docx

120 KBs Word File

Students Have Also Explored These Related Mathematics Questions!

Find an equation of the tangent line to the curve at the.

The tangent line to a curve at a point closely approximates the curve near the point. In fact, for x-values close enough to the point of tangency, the function and its tangent line are virtually...

Find an equation of the tangent line to the curve at the given point. Illustrate by graphing the curve and the tangent line on the same screen. y = x x , (1, 0)

1. Evaluate the following limits if they exist. 3x2 - 6x + 8 (a lim x-70 2 - 4x + 7 (Do not use L'Hospitals Rule) Answer: 3 (b) lim 2 2 - 8x + 12 2-2 202 - 3x + 2 (Do not use L'Hospitals Rule)...

X-+2 X-+2 Let lim f(x) = 2 and lim g(x) = 8. Use the limit rules to find the following limit. (a) Graph the given function, (b) find all values of x wt had the right at any values of x where the...

1 of 9 LYS Math 2412 - Final Exam Review Problems Update:11/18/ 1. Verify the identity: tan(x) sin(x) + cos(x) = sec(x) 2. Verify the identity: sin(x) - sin(x) cos2(x) = sin(x) 3. Verify the...

Let f (x) = exp(x2 - 1), for x = 0. Find f-1(x), the inverse fuction. Find the domain and range of f(x). Show that (f of-1) (x) = x for every x E dom(f-1), and (f-1 of) (x) = x for every x E...

A = B= and C = Note: You can earn partial credit on this problem. preview answers Problem 5. (1 point) Let f (x) = . Compute f'(1). Answer: Use this to find the equation of the tangent line to the...

THE UNIVERSITY OF NEW SOUTH WALES SCHOOL OF MATHEMATICS AND STATISTICS JUNE 2016 MATH2501 Linear Algebra (1) TIME ALLOWED - THREE HOURS. (2) TOTAL NUMBER OF QUESTIONS - 5 (3) ANSWER ALL QUESTIONS (4)...

Calculus 3 (Math-UA-123) Fall 2016 Homework 5 Due: Thursday, October 20 at the start of class Please give complete, well-written solutions to the following exercises. 1. The figure on the left shows...

Megan and Sean are looking for their first home in Ontario. They are in their late 20s and have been married for three years. They still have a small amount left to pay towards their student and car...

A mass M is fixed at the right-angled vertex where a massless rod of length ? is connected to a very long massless rod (see Fig). A mass m is free to move frictionlessly along the long rod. The rod...

Suppose that F ( x ) = 1 x f ( t ) d t , where f ( t ) = 1 t 2 7 + u 4 2 u d u Find F ' ' ( 2 ) . F ' ' ( 2 ) =

How might (a) Seasonal factors and (b) Different growth rates distort a comparative ratio analysis? Give some examples. How might these problems be alleviated?

Clear View Miniature Golf and Driving Range Inc. was opened on March 1 by Roger Prince. These selected events and transactions occurred during March. Mar. 1 Stockholders invested $50,000 cash in the...

An important rule is that you should never show a nominal rate on a time line or use it in calculations unless what condition holds? (Hint: think of annual compounding, when iNom = EAR = iPer.) What...

Capital budgeting, income taxes. Assume the same facts as in Exercise 21-18 except that City Hospital is a taxpaying entity. The income tax rate is 30% for all transactions that affect income taxes....

Single-rate versus dual-rate methods, support department. The Chicago power plant that services all manufacturing departments of MidWest Engineering has a budget for the coming year. This budget been...

To decrease the money supply, what could the Federal Reserve do? Choose one or more: A. decrease the discount rate B. make an open market sale C. increase the discount rate D. make an open market...

l. (3 pts) Convert to an exponential equation: log 4 .'t'= 5. Q explanation required] 1. A. 4x=5 B. 51:4 O. x4=5 D. x5==l E. 45=x F. 54:}; 2. (9 pts) Laura is a salesperson who must decide between...

. (1 point) Let f (x): e" and g(x) = lnx. What is the geometric relationship between the functions f (x) and g(x). . (2 points) Write the exponential equation 3" = 2 in logarithmic form. . (2 points)...

A network based service manages persistent objects. The service must enforce an access control policy to protect the objects. (a) Discuss how this access control might best be implemented for the...

DETAILS 7. [-/1 Points] Math 110 Course Resources - Limits & Continuity Course Packet on continuity x2 - 9 if x # 3 Let f(x) =3 x-3 kx - 15 if x = 3 Determine the value of k that will make f(x)...

A network consists of a central hub router, with links (spokes) to a set of routers at outlying sites. A network designer is trying to choose which routing protocol to deploy. (i) Illustrate the...

PLEASE ANSWER STEP BY STEP ALL COMPLETELY ASAP -x2+l Ltr =x4+4x372x2712x+9 _ 2 _ d -_ e (X) ,gmJx +2x 33" "(>0 x2+2x_3 Part A: Use complete sentences to compare the domain and range of the polynomial...