# Exercise 7.9. Assume f:R → R. (a) Let t € (1,0). Prove that if |f(x) =...

###### Question:

Exercise 7.9. Assume f:R → R. (a) Let t € (1,0). Prove that if |f(x) = alt for all x, then f is differentiable at 0. (b) Let t € (0,1). Prove that if f(x) = |x|* for all x, and f(0) = 0, then f is not differentiable at 0. (c) Give a pair of examples showing that if |f(x)= |x|for all I, then either conclusion is possible.

#### Similar Solved Questions

##### Sulfasalazin oral susp soomy o 6 hr; Directions for mixing: add 125 mL of water and Shake well. Each tsp will yield...
sulfasalazin oral susp soomy o 6 hr; Directions for mixing: add 125 mL of water and Shake well. Each tsp will yield 1. 5 g of Sultasalazine. How many mL will you give? Please Show me the steps to solve this. Thank...
##### Need help with all ... 10. Calculate the wavelength of the spectral line in the comission...
need help with all ... 10. Calculate the wavelength of the spectral line in the comission spectrum of hydrogen for which land 3. 277 mm b. 103 mm c. 345 mm d. 397 mm 11. For the wavelength emitted by hydrogen above question 10). what region of the electromagnetic spectrum does this photos ...
##### Problem 9.60 Part A Suppose that σ1-440 MPa, σ,-250 MPa , Tzy-425 MPa . The stress...
Problem 9.60 Part A Suppose that σ1-440 MPa, σ,-250 MPa , Tzy-425 MPa . The stress components act in the directions shown in the figure below. (Figure 1) Determine the principal stress. Express your answers using three significant figures separated by a comma. σ1 , σ2-642,-45...
##### 3:52 PM Thu Mar 26 Course Home X G total cost is the cost of w...
3:52 PM Thu Mar 26 Course Home X G total cost is the cost of w x Do Homework - Mason mathxl.com ECON 101_002 Basic Economics - SPRING 2020 Homework: Chapter 11 Homework Score: 0 of 1 pt Checkpoint 1 Test A 7 10 of 50 (8 complete) The table shows the cost structure of a firm selling bottles of water ...
##### Score: 0 of 2 pts 3 of 8 (0 complete) Hw Score: 0%, 0 of 16...
Score: 0 of 2 pts 3 of 8 (0 complete) Hw Score: 0%, 0 of 16 pts 8.2.27 Question Help What sample size is needed to estimate a population mean within ± 60 of the true mean value using a confidence level o 95%, if the true population variance is known to be 202,500? The sample size must be at l...
##### If f(t)={0        0<x<3              e^t         x>3 QUESTION 4 r> 3 then fO S s s-1 35...
if f(t)={0        0<x<3              e^t         x>3 QUESTION 4 r> 3 then fO S s s-1 35 s(s-1) d. (s-D...
##### Tom Smith is the controller of ABC Co. The company has been under a great deal...
Tom Smith is the controller of ABC Co. The company has been under a great deal of pressure to meet earnings projections. How might some of the accounts under the assets, liabilities, expenses, and revenues categories be manipulated to inflate earnings?...
##### A square with a side length of 10 cm, has a charge at each corner. The...
A square with a side length of 10 cm, has a charge at each corner. The magnitude of each of the charges is 4.5 micro coloumbs. Charges A and C are positive, while charges B and D are negative. A diagnol line is drawn across the square connecting two corners (Charges A and C). Another diagnol is draw...