Using the Chain Rule, show that the Power Rule (d/dx)x n = nx n-1 holds for the

Question:

Using the Chain Rule, show that the Power Rule (d/dx)xⁿ = nx^n-1holds for the functions xn.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

See More Books

Question Posted: Apr 18, 2023 12:48 AM

See More Questions

Please list the name of the fund(s) in which each of the following transactions or events would be recorded. (1) $200,000 was appropriated, to be advanced from funds on hand, to finance the...
Consider the following requirements for a certain product. Period 1 2 3 4 5 6 7 8 Gross requirements 0 200 200 500 0 400 0 400 Beginning inventory = 500 units Setup cost = $500 per setup Lead time =...
Consider a 3-year bond from which you receive three coupon payments (C), one at the end of every year. The face value of the bond F is received at the end of year 3. Write the formula for the price P...
Sodium sulfate, Na2SO4 with a mass of 15 g is dissolved in 250 g water. What is the boiling point of the solution? Kb for water = 0.52 C/m a) 100 C b) 100.2 C c) 99.67 C d) 101.2 C c) d) O a) b)
Suppose Philip Neilson (from problem 8) decides to expand his business. His new xed expenses will be $20,000, but the average cost for a reworks assortment will fall to just $5 due to Philips higher...
Where are you experiencing bottlenecks or even blockades at the moment?
Identify which business processes need to be reengineered and which changes will make the biggest impact. (pp. 428429)
New Orleans Paddlewheels, Inc. (NOP), is a Louisiana corporation formed in 1982 when James Smith, Sr., and Warren Reuther were its only shareholders, with each holding 50 percent of the stock.NOP is...
paul started a business with the following characteristics: all shareholders have limited liability, the entity is not subject to corporate tax, and income and expenses are passed through to...
Let X be the winnings of a gambler. Let p(i) = P(X = i) and suppose that Compute the conditional probability that the gambler wins i , i = 1, 2, 3, given that he wins a positive amount. 1/3: p(1) %3...
Suppose that a piston is moving straight up and down and that its position at time t sec is s = Acos (2bt), with A and b positive. The value of A is the amplitude of the motion, and b is the...
a. Find equations for the tangents to the curves y = sin 2x and y = -sin (x/2) at the origin. Is there anything special about how the tangents are related? Give reasons for your answer. b. Can...
Graph the function by hand, not by plotting points, but by starting with the graph of one of the standard functions given in Section 1.2, and then applying the appropriate transformations. y = 2 cos...
3. Given the continuous beam shown below, which span or spans should be loaded with a uniform distributed load to produce a maximum moment at support B? (5 points) SPAN 1 SPAN 2 SPAN 3 A B D 20 ft...
Complete the following writing assignment: Analyze the attached 10_pages. Write_about them, summarize what you read, and connect it to personal experiences. CHAPTER 8 Anxiety Disorders DAVID P....
As a manager of an airline company you want to learn the average weight of luggages checked in on a flight. From a sample of 1 6 luggages, you find the average to be 2 6 kg and the standard deviation...
What is the Manufacturing Cycle Efficiency? 11. Use High-Low to find the fixed and variable costs. Machine Month Costs Hours 12345678 $1,730,890 15,820 $1,753,860 13,980 $1,562,890 11,550 4...
Jimmy Padilla purchased a gravel pit in the current year for $944,232 and estimates that there will be a residual value in the land of $36,404 once resource extraction is complete. He estimates that...
Explain the maturity imbalance problem faced by savings and loan associations that hold fixed-payment mortgages as assets.
You are thinking of investing in one of two companies. In one annual report, the auditors opinion states that the financial statements were prepared in accordance with generally accepted accounting...
In problem, use a calculator to find the approximate value of each expression rounded to two decimal places. cot 70
In problem, use a calculator to find the approximate value of each expression rounded to two decimal places. tan /10
Use the evenodd properties to find the exact value of each expression. Do not use a calculator. sin(-/3)
Explain: An office building is renting for $10/sf, with 50,000 total leasable square feet. Office buildings in the area are selling for cap rates of 5.5%. What information do you have and what are...
Practicum Co. pad $1.2 million for an 80% interest in the common stock of Sarong Co. Practicum had no previous equity interest in Sarong. On the acquisition date, Sarong's identifiable net assets had...
On Dec 31 2020, Bernice Melson, a partner in ABC Communications, had an ending capital balance of $49,000. Her share of the partnership's profit was $18,000; she made investments of $12,000 and had...

Using the Chain Rule, show that the Power Rule (d/dx)x n = nx n-1 holds for the

Question:

x1/4 = √√x X

Step by Step Answer:

To use the Chain Rule we need to rewrite the function xnx14 as a composition of two functions Lets d...View the full answer

Thomas Calculus Early Transcendentals

Students also viewed these Mathematics questions