How can you write any real power of x as a power of e? Are there any

Question:

How can you write any real power of x as a power of e? Are there any restrictions on x? How does this lead to the Power Rule for differentiating arbitrary real powers?

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 19, 2023 12:09 PM

Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
How can managers use data mining techniques to analyze patterns, trends, and relationships? How does this lead to better data-driven decision making?
As it currently stands, investment 7 in the capital budgeting model in Figure 14.40 has the lowest ratio of NPV to cash requirement, 2.5. Keeping this same ratio, can you change the cash requirement...
1 Which branch of our government makes our laws? A O All choices Judicial Legislative Executive
A production process manufactures items with weights that are normally distributed with mean 15 pounds and standard deviation 0.1 pound. An item is considered to be defective if its weight is less...
State the LIFO conformity rule. How might this rule affect a managers decision to choose an inventory flow assumption?
1 6 How did you score on the McClelland test? How did your scores compare with those of others?
On January 1, 2016, Hyde Corporation purchased bonds with a face value of $300,000 for $308,373.53. The bonds are due June 30, 2019, carry a 13% stated interest rate, and were purchased to yield 12%....
In divisional income statements prepared for Lemons Company, the Payroll Department costs are allocated to user divisions on the basis of the number of payroll distributions, and the Purchasing...
Big Guy Inc. purchased 80% of the outstanding voting shares of Humble Corp. for $360,000 on July 1, 2017. On that date, Humble Corp. had common shares and retained earnings worth $180,000 and...
Find the derivatives of the function. y = x 2 sin 2 (2x 2 )
Sand falls from a conveyor belt at the rate of 10 m 3 /min onto the top of a conical pile. The height of the pile is always three-eighths of the base diameter. How fast are the (a) Height and (b)...
Taylor Swift Corporation purchases a patent from Salmon Company on January 1, 2025, for $54,000. The patent has a remaining legal life of 16 years. Taylor Swift estimates the patent will have a...
Your client who is currently using only Facebook and Instagram wants to try LinkedIn. What would you do first ? and why ?
Exro Technologies Corp. (Exro) is an upstart Canadian company that specializes in the manufacture of electric motors and batteries for electric bikes. Exro uses a job costing system and during...
How do neurobiological mechanisms, such as the stress response system and emotional regulation pathways, influence the dynamics of conflict escalation and resolution?
What is the consideration to invest in the company which has recorded revenue growth over the past 5 years but the Debt to Equity ratio also increase significantly to 5.72?
Builder Products, Incorporated, uses the weighted-average method in its process costing system. It manufactures a caulking compound that goes through three processing stages prior to completion....
The plug has a diameter of 30 mm and fits within a rigid sleeve having an inner diameter of 32 mm. Both the plug and the sleeve are 50 mm long. Determine the axial pressure p that must be applied to...
Information graphics, also called infographics, are wildly popular, especially in online environments. Why do you think infographics continue to receive so much attention? How could infographics be...
The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of 3 cm/s. When the length is 20 cm and the width is 10 cm, how fast is the area of the rectangle...
Verify the given linear approximation at a = 0. Then determine the values of x for which the linear approximation is accurate to within 0.1. 4 1 + 2x 1 + 1/2 x
Describe how the graph of f varies as c varies. Graph several members of the family to illustrate the trends that you discover. In particular, you should investigate how maximum and minimum points...
explain in excel please For a particular product the price per unit is $6. Calculate Revenue if sales in current period is 200 units. Conduct a data analysis, on revenue by changing the number of...
Hall Company sells merchandise with a one-year warranty. In the current year, sales consist of 35,000 units. It is estimated that warranty repairs will average $10 per unit sold and 30% of the...
Q 4- Crane Corporation, an amusement park, is considering a capital investment in a new exhibit. The exhibit would cost $ 167,270 and have an estimated useful life of 7 years. It can be sold for $...

How can you write any real power of x as a power of e? Are there any

Question:

Step by Step Answer:

ANSWER To write any real power of x as a power of e we can use the natural logarithm functi...View the full answer

Thomas Calculus Early Transcendentals

Students also viewed these Mathematics questions