Assuming that the equations define y as a differentiable function of x, use Theorem 8 to find
Question:
Assuming that the equations define y as a differentiable function of x, use Theorem 8 to find the value of dy / dx at the given point.
xy + y2 - 3x - 3 = 0, (-1, 1)
Transcribed Image Text:
THEOREM 8-A Formula for Implicit Differentiation Suppose that F(x, y) is differentiable and that the equation F(x, y) = 0 defines y as a differentiable func- tion of x. Then at any point where F, # 0, dy dx Fx F (1)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (4 reviews)
The function given by the equation is fx y xy y2 3x 3 To find the value ...View the full answer
Answered By
Deepak Sharma
0.00
0 Reviews
10+ Question Solved
Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
Question Posted:
Students also viewed these Mathematics questions
-
Find f'(x), f"(x), and f"'(x) for the following functions. ? 7 8 f(x) x + 1
-
Matrix is nonsingular. Find the inverse of the matrix. 2 -1 3 3 1
-
Use a computer algebra system to graph the surface and locate any relative extrema and saddle points. Z || - 4x +2 x + y + 1
-
A Contractors Ltd was formed on 1 January 2012 and the following purchases and sales of machinery were made during the first 3 years of operations. Each machine was estimated to last 10 years and to...
-
Indicate whether each item would be added (+) or subtracted (-) in the computation of cash flow from operating activities using the indirect method. Indicate whether each item would be added (+) or...
-
Jacqueline Ponce de Leon, a descendent of Juan Ponce de Leon, made a cash contribution of $1,500,000 to the City of Fountains to create and maintain a large fountain in front of City Hall in honor of...
-
A fleet of 100 taxis is divided into two groups of 50 cars each to determine whether premium gasoline reduces maintenance costs. Premium unleaded fuel is used in group A, while regular unleaded fuel...
-
Firwood Manufacturing Co. had a contract to sell General Tire 55 model 1225 postcure inflators (PCIs). PCIs are $30,000 machines used by General Tire in its manufacturing process. The contract was...
-
6. 1. Sketch one loop of the curve 9y = x(3x) 11. Find the area of the surface of revolution generated by one loop of the curve 9y = x(3x) about the y-axis. Leave your answer in the exact form.
-
It is early April 2021 and you, CPA, work in a mid-sized accounting firm in Regina, Saskatchewan. While you normally work on audits, you have requested to participate in the personal tax pool this...
-
(a) Find the functions domain, (b) Find the functions range, (c) Describe the functions level curves, (d) Find the boundary of the functions domain, (e) Determine if the domain is an open region, a...
-
Find the directions in which the functions increase and decrease most rapidly at P 0 . Then find the derivatives of the functions in these directions. h(x, y, z) = ln (x 2 + y 2 - 1) + y + 6z, P 0...
-
a. Is the migration of newspapers and books from a paper-based to an online form merely a more convenient way of accessing the same material? b. Do we read differently online compared with the way we...
-
what ways can authentic leadership be cultivated within individuals, and how does its emphasis on self-awareness and moral integrity contribute to organizational effectiveness and employee engagement...
-
imagine you were the VP of Human resource department an you need to find An issue of internal communication Since a lot of people were working remote, a solution and proposal benefits See Example...
-
Consider an industry consisting of two firms which produce a homogeneous commodity. The industry demand function is Q = 100 - P, where Q is the quantity demanded and P is its price. The total cost...
-
After viewing the CNBC Report on Starbucks' Billion Dollar Business, proceed to the Discussion Board to chat with your peers about what you've learned. At the time of this report, Starbucks sales...
-
a)Today's economic environment is challenged with higher than normal inflation, and the Bank of Canada has resorted to increasing interest rates to cool the economy. briefly describe the impact on...
-
Calculate the acid-test ratio in each of the following cases: Required Which case is in the best position to meet short-term obligations most easily? Explain your choice. Round calculations to two...
-
Suppose the concentration of glucose inside a cell is 0.1 mm and the cell is suspended in a glucose solution of 0.01 mm. a. What would be the free energy change involved in transporting 10-o mole of...
-
Use a table of integrals to find the indefinite integral. X (x - 6x + 10) dx
-
Use a table of integrals to find the indefinite integral. ex 3x 3 (1 + e*) dx
-
Use a table of integrals to find the indefinite integral. In x x(3+2 In x) dx
-
Oakmont Company has an opportunity to manufacture and sell a new product for a four-year period. The company's discount rate is 18%. After careful study, Oakmont estimated the following costs and...
-
Overview of Europe's new data protection laws (GDPR). Then review the second linked site that provides an analysis of the differences between GDPR and US data protection laws in general. (You aren't...
-
Q8: Capacity Planning Cycle Time PRIMOS AMERICAN PIZZA (3 Marks) Also, PRIMO's Pizza has the process displayed below. The preparing operation occurs simultaneously. The product only needs to go...
Study smarter with the SolutionInn App