Question: The signum function defined by The following functions all fail to be differentiable at x = 0. In each case, graph the function, see what

The signum function defined by

The following functions all fail to be differentiable at x = 0. In each case, graph the function, see what happens if you try to compute the derivative as the limit of the slopes of secant lines, and say something about the tangent line.

S(x)=0 if x=0 [S(x)=l if120.

Step by Step Solution

★★★★★

3.38 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

The slope of any secant with x 0 is 1x which has ... 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 (1 attachment)

808-C-L-D (1038).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

The Heaviside function (Section 2.3, Exercise 25), defined by The following functions all fail to be differentiable at x = 0. In each case, graph the function, see what happens if you try to compute...

The absolute value function f(x) = |x|. The following functions all fail to be differentiable at x = 0. In each case, graph the function, see what happens if you try to compute the derivative as the...

The square root function f(x) = x. (Because this function is only denned for x 0, you can only use x > 0.) The following functions all fail to be differentiable at x = 0. In each case, graph the...

40. Find dy in terms of x and y for the function x + y = 6. dx y a. . X b. 6 dy 2 X N - + y c . a dy y dy 2 12 d. dry dx 2 d'y y e. dx 2 41. The function f(x) = x has two tangents drawn to it at the...

Write an outline for sections 6.2-6.4. Work on the solutions to Section 6.1: exercises 21 and 36, Section 6.2: exercises 54 and 93, Section 6.3: exercises 44 and 64, and Section 6.4: exercises 26 and...

Here's the question: Case 3 - Combining Odd and Odd Functions You'll select two odd functions from the list above, and look at what happens when they're added, subtracted and multiplied. Then repeat...

This is a review I have to complete, however, I am having a hard time, I need someone to help me solves these questions by showing me step by step, don't just give me the final answer I need to see...

2.7. Explicit Solutions to Dierential Equations 109 power (kw) 20 15 10 5 0 08:00 10:00 12:00 14:00 16:00 time 18:00 2.7 Explicit Solutions to Dierential Equations In the very rare case in which an...

Hi I need help with this project that I am doing. It has to be in C language and I don't what to do. This is for my Data Structure course. Please it has to be in Language of C. Programming Assignment...

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The...

Suppose that the following linear regression equation represents the annual salary (in thousands of dollars per year) in terms of years of experience in a particular profession. salary = 43.5 + 0.73...

A.) Generate the list of minterms and conditions it does not matter that they correspond to you, based on the script attached in the annex of this file. Its minterms in 1 to use are: [27, 14, 22, 20,...

Generally, the difference between CVCS and DVCS can be summarized as: CVCS relies on technologies such as Git, while DVCS relies on technologies such as subversion. CVCS focus on synchronizing,...

Suppose that X N(5, 2), Y N(1, 3), and X and Y are independent of each other. Calculate the mean, the variance, and the covariance with X of (a) X + Y (b) X Y (c) XY.

DeTurris Office Supplies presently carries reams of printer paper in three different grades: recycled, satin white, and glossy white. Three wholesalers offer special purchase packages consisting of...

A dieting company offers three foods, A, B, and C, and groups its customers into two groups according to their nutritional needs. The following table gives the percent of the daily nutritional...

A hospital wishes to provide at least 24 units of nutrient A and 16 units of nutrient B in a meal, while minimizing the cost of the meal. If three types of food are available, with the nutritional...

Key facts and assumptions concerning Kroger Company, at December 12, 2007, appear below. Using this information, answer the questions following. Facts and Assumptions Yield to maturity on long-term...

QUESTION 20 Ken Can Co. has the following tax information for this year: Pretax income $72,000 Taxes payable $12,000 Income tax expense $19,000 Income tax paid $11,000 The reported effective tax rate...

The Impact of Special Events: page 27. Please identify the specific financial risks that would be applicable to each special event, Commodity Price Increases, Competing Product Introduction and...