Question: Let f ( x ) = l n ( 1 + x ) . ( a ) Find f ' ( x ) and f

Let f(x)=ln(1+x).
(a) Find f'(x) and f''(x).
Let f(x)=ln(1+x). (a) Find f'(x) and f''(x).

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!

Q:

Consider a function h that is continuous over [ - 15, 15] and let 15 h(x)dx - - 5 Use the above information to evaluate each of the following definite integrals. For one of the integrals, it may be...

Q:

Let f (x, y, z) = (1 + x 2 y)/z. Find af af dx dy and af dz

Q:

3 Let f x y xy 1 xy a Find linearization L x y zo f P x x f P y y at the point P 1 2 2 3 M b Find an upper bound of the error E x 11 y 2 in f x y L x y approximation over the rectangle R

Q:

MATH 2500: TAKE HOME 02 (30 points.) NAME: DUE: Wednesday, June 3rd by 8 AM. DIRECTIONS: To receive full credit, make sure your work is neat and complete. 1. Let f (x) = x + sin(x) 1. (a) Explain why...

Q:

7. [5.02/10 Points] DETAILS PREVIOUS ANSWERS (a) Find a power series representation for f(x) = In(1 + x). (-1)ntIn f ( x ) = n n = 1 What is the radius of convergence, R? R = 1 (b) Use part (a) to...

Q:

Please help with the questions below attached. 1. Find an equation for each line: (a) Li goes through the point (-1, 3) and is parallel to x = -2y + 3. (b) L2 goes through the point (2, 3) and is...

Q:

QUESTION 7 Let f (x) = - X x # 1. Find an equation of the tangent line to the graphy= f ( x ) of f at (2,2) . X - O a. 'y=6- 2x O b. v= x- 4 O C. y=4- x O d. y=- -x+3 2 QUESTION 8 Let f (x) =|x- 2....

Q:

1) The figure shows graphs of f, f', f", and f". Identify each curve. 2pts. 2) Let f (x) = (23 - 2x) (3x + 5) . Find the derivative f' (x) in two methods 3pts. A. Using the distributive property then...

Q:

1. (4 points) Compute the following limit. sin(-2x) lim x-+0 sin(5x)\f3. (5 points) Let f (x) = x + on [1, 5]. Find out the absolute maximum and minimum of f on [1,5]. 4. (5 points) Let f (x) = ace4"...

Q:

MATH 1475 O Find The Horizontal Asymptote for y = 2 x * = 4 ( Hint . find Lim - ) 2 Let f ( X ) = X - 3X - 1 use the First Derivative to find the open intervals where of is ord (6) Find All Local...

Q:

Prepare journal entries to record the following merchandising transactions of Yarvelle Company, which applies the perpetual inventory system. (It will help to identify each receivable and payable;...

Q:

Calculate Residual Income for 2011, assuming Carmax?s average cost of capital is 5%. ?Logically and neatly, show your work steps, and your answer. ?Assume that ?Net Income? is Operating Income, and...

Q:

eBook Explain the difference between a long hedge and a short hedge used by financial institutions. When is a long hedge more appropriate than a short hedge? A long hedge represents a - Select -...

Q:

8:37 * N. 80% i ... OBJECTIVES: Create relationships Create a Pivot Table from Related Tables Create a PivotChart Modify the PivotChart The major section in this chapter :ontinuation is: Data...

Q:

14. What are health savings accounts (HSAs)? How might they reduce the overconsumption of health care resulting from traditional insurance? How might they introduce an element of price competition...

Q:

11. How is the moral hazard problem relevant to the health care market? LO24.4

Q:

5. What are the main groups without health insurance? LO24.3