The power function (example 2.2) f(x) = xn, n = 1, 2, . . . is differentiable
Question:
f(x) = xn, n = 1, 2, . . .
is differentiable with derivative
Df[x] = f′[x] = nxn-1
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (16 reviews)
For 1 is linear and therefore 1 F or 2 let so that 2 Using the p...View the full answer
Answered By
PALASH JHANWAR
I am a Chartered Accountant with AIR 45 in CA - IPCC. I am a Merit Holder ( B.Com ). The following is my educational details.
PLEASE ACCESS MY RESUME FROM THE FOLLOWING LINK: https://drive.google.com/file/d/1hYR1uch-ff6MRC_cDB07K6VqY9kQ3SFL/view?usp=sharing
3.80+
3+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Numerical Analysis questions
-
Show that the power functions f (x) = xn, n = 1, 2, . . . are convex on +.
-
If f satisfies (40) for all x, it is homogeneous of degree k. Euler's theorem can be thought of as a multidimensional extension of the rule for the derivative of a power function (example 4.15). Two...
-
What can we say about the concavity/convexity of the simple power functions f(x) = xn, n = 1, 2, . . . over .
-
You are the manager of an educational facility and have beenasked to predict analyze the electric cost for 2020 based on the following 12 months of Information, You know the electric cost has both...
-
A manufacturing company produces plastic pipes that are specified to be 10 inches long and 1/8 inch thick with an opening of 3/4 inch. These pipes are molded on two different machines. To maintain...
-
The Stockholders Equity section of Nilsson Corporations balance sheet as of December 31, 2010, is as follows: Common stock ($5 par, 500,000 shares authorized, 275,000 issued and outstanding) . . . ....
-
How is the surprise announcement by Jerome Powell to reduce benchmark interest rates in the United States by one full percentage point to mitigate the economic impact of the COVID-19 pandemic...
-
Silane (SiH 4 ) is the silicon analogue of methane (CH 4 ). It is prepared industrially according to the following equations: Si(s) + 3HCl(g) HSiCl 3 (l) + H 2 (g) 4HSiCl 3 (l) SiH 4 (g) + 3SiCl 4...
-
2. How many bits are required to address a 2K x 8 main memory if a) Main memory is byte-addressable? b) Main memory is word-addressable?
-
The figure illustrates the operation of an air lift pump. Compressed air is forced into a perforated chamber to mix with the water so that the specific gravity of the airwater mixture above the air...
-
Let f: X be differentiable at x and g: Y be differentiable at y. Then their product f g: X Y R is differentiable at (x, y) with derivative Dfg[x, y] = f(x)Dg[y] + g(y) Df[x]
-
Assume that the inverse demand function for some good is given by p = f(x) where x is the quantity sold. Total revenue is given by R(x) = f(x)x Find the marginal revenue at x0.
-
Review the arguments for and against the Employee Free Choice Act and the Mandatory Secret Ballot Protection Act. How would you vote? Give your reasons?
-
Both a perfect competitor and a monopolistic competitor choose output where MC = MR, and neither makes a profit in the long run. How is it, then, that the monopolistic competitor produces less than a...
-
The role of sourcing, planning, and analysis is to analyze spending across various suppliers and component categories to identify opportunities for decreasing the total cost. to analyze spending...
-
One of the pitfalls of these forecasting tools is it is difficult to do time-series analysis. relying on them too much, which eliminates the human element in forecasting. they take up too much human...
-
Explain the effects on college education of the development of a teaching machine that you plug into a students brain and that makes the student understand everything. How would your answer differ if...
-
Shannon Jones just received an e-mail message from an angel investor who has agreed to listen to her pitch her business idea. The investor said, Your timing is goodI just happen to be sitting on...
-
What would it take to implement your ideas/plans to move forward with these goals?
-
From a medical tourist perspective, compare Shouldice with the traditional hospital in terms of the key factors of competition. Using Table 15-3, why would Shouldice attract patients from outside the...
-
(a) How is the graph of y = f (| x |) related to the graph of f? (b) Sketch the graph of y = sin | x |. (c) Sketch the graph of y = | x |.
-
Use the given graph of f to sketch the graph of y = 1/f (x). Which features of f are the most important in sketching y = 1/f(x)? Explain how they are used.
-
Use graphical addition to sketch the graph of f + g. 29. 30.
-
A friend owes you $500 in 1 year from now, and then $1000 2 years from now. Both loans are at 5%. If you want to replace both of these loans with ONE PAYMENT NOW, how much would your friend give you ?
-
If the amount of retained earnings at the beginning of the year was $ 3 0 , 0 0 0 , and $ 1 2 , 0 0 0 in dividends is paid during the year, calculate net income for the year.
-
On January 2, 20Y4, Whitworth Company acquired 33% of the outstanding stock of Aloof Company for $330,000. For the year ended December 31, 20Y4, Aloof Company earned income of $86,000 and paid...
Study smarter with the SolutionInn App