Let (x) = x n and g(x) = x 1 . Compute g'(x) using Theorem 2 and
Question:
Let ƒ(x) = xn and g(x) = x1. Compute g'(x) using Theorem 2 and check your answer using the Power Rule.
Transcribed Image Text:
THEOREM 2 Derivative of the Inverse Assume that f is differentiable and one-to- one with inverse g(x) = f(x). If b belongs to the domain of g and f'(g(b)) #0, then g'(b) exists and g' (b) = 1 f'(g(b)) 3
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (2 reviews)
gx 1 x Therefore whi...View the full answer
Answered By
Vijesh J
My passion to become a tutor is a lifetime milestone. Being a finance and marketing professional with hands-on experience in wealth management, portfolio management, team handling and actively contributing in promoting the company. Highly talented in managing and educating students in most attractive ways were students get involved. I will always give perfection to my works. Time is the most important for the works and I provide every answer on time without a delay. I will proofread each and every work and will deliver a with more perfection.
4.70+
5+ Reviews
15+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
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...
-
Using the result in Exercise 2.2.5, prove the following results. a) Suppose that 0 < x1 < 1 and xn+1 = 1 - 1 - xn for n N. If xn x as n , then x = 0 or 1. b) Suppose that x1 > 3 and xn+1 = 2 + xn...
-
X and Y take the value 0 with probability 0.25, the value 1 with probability 0.5, and the value 2 with probability 0.25. Consider independent random variables X and Y with identical probability...
-
Define the term CHAMPERTY
-
Under the assumption that KMS's market share will increase by 0.25% per year (and the investment and financing will be adjusted as described in Problem 13), you project the following depreciation:...
-
You are considering an investment in 30-year bonds issued by Moore Corporation. The bonds have no special covenants. The Wall Street Journal reports that 1-year T-bills are currently earning 1.25...
-
What steps to take in planning the litigation?
-
Prepare all journal entries for 20X2 concerning the following data for a medical clinic that performs elective laser surgery that corrects vision. Such procedures are not covered by third-party...
-
Nike corporation earnings per share in 2005 were $4, and its growth rate during the prior 5 years was 9% per year. If that growth rate were maintained, how long would it take for Nike's earnings per...
-
Prove that sinh1 t = ln(t + t 2 + 1). Let t = sinh x. Prove that cosh x = t 2 + 1 and use the relation sinh x + cosh x = e x
-
Find the critical points and determine whether they are local minima, maxima, or neither. (x) = x 2 e x
-
a. When demand increases, what happens to price and quantity in equilibrium? b. When supply increases, what happens to price and quantity in equilibrium? c. When supply decreases, what happens to...
-
Explain how investment may result in economic growth.
-
Explain three factors that might lead to an increase in the supply of a currency.
-
Explain how increased foreign direct investment might promote economic growth.
-
"A moral obligation bond is a form of a limited general obligation bond." Explain why you agree or disagree with this statement.
-
Explain the difference between import substitution and export promotion.
-
OfficeMax, a chain that sells a wide variety of office equipment often features sales of products whose prices are reduced because of rebates. Some rebates are so large that the effective price...
-
You work as an operations consultant for a textile company. Your client has a well-established distribution system in the US market. The company has hundreds of stores and four distribution centers....
-
The Application Reducing the CPI Substitution Bias discusses the new inflation index, the C-CPI, which averages the Laspeyres and Paasche indexes. Give an example of circumstances such that the...
-
In the Challenge Solution, suppose that housing was relatively less expensive and food was relatively more expensive in London than in Seattle, so that the LL budget line cuts the LS budget line from...
-
In the Challenge Solution, suppose that housing was relatively less expensive and food was relatively more expensive in London than in Seattle, so that the LL budget line cuts the LS budget line from...
-
A pin P is confined by a path r = 3 sin(20) feet in a vertical plane and the slotted arm OA. Arm OA is rotating with a constant angular velocity (w) of 0.3 rad/s when 0-25. Complete the highlighted...
-
Simplify the following vector expression (x-x)A (1) where x is the position vector of a point in 3D, y is the position vector of a fixed point in 3D, p = ||x y||. Express your final result in terms...
-
1. A temperature measuring system consists of a sensor, which is a re- sistance temperature detector (RTD), and an electronic circuit, which has been adjusted by static calibration to produce a...
Study smarter with the SolutionInn App