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...
-
A free particle of mass m is confined to a ring of circumference L such that (x+L) = (x). The unperturbed Hamiltonian is to which we add a perturbation (a) Show that the unperturbed states may be...
-
Jack Swanson gave a creditor a 90-day, eight percent note payable for \(\$ 7,200\) on December 16 . What adjusting entry should Swanson make on December 31 ?
-
Crickets make a chirping noise by sliding their wings rapidly over each other. Perhaps you have noticed that the number of chirps seems to increase with the temperature. The following data list the...
-
Provide a visual drawing / rendering of any clothing company like urban outfitter's DC that includes all of your ideas and recommendations above. This illustration is to include all of the major...
-
Moe's Landscaping company offers lawn maintenance services. Two frequent transactions for the company are billing customers for services performed and paying employee salaries. For example, on March...
-
(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...
-
Atlanta Office Equipment manufactures and sells metal shelving. It began operations on January 1, 2014. Costs incurred for 2014 are as follows (V stands for variable; F stands for fixed): Direct...
-
" A Dozen Facts About the Economics of the US Health-Care System " from the Brookings Institute on the economics of the U.S. health care system. Analyze the causes of the high cost of health care in...
-
Use the quadratic formula to solve for x. 3x+2x-6=0 (If there is more than one solution, separate them with commas.)
-
In the year of her death, P owned a rental property - land (FMV $250,000; cost $200,000), building (FMV $340,000; cost $300,000; UCC $200,000). In her Will, she bequeathed the property to her spouse....
-
How do metabolic pathways, such as the Krebs cycle and beta-oxidation, contribute to the generation of high-energy intermediates (e.g., NADH, FADH2) that fuel the electron transport chain ?
-
Now think about your general communication and interactions with the child during each day: Did the child ask you for assistance during the day? How did you respond? Provide an example of how you...
-
The Sun is 1.50 1011 m from Earth. How long does it take for the Sun's light to reach Earth? How long does it take light to cross the diameter of Earth's orbit? Compare this time with the time...
-
In a large midwestern university, 30% of the students live in apartments. If 200 students are randomly selected, find the probability that the number of them living in apartments will be between 55...
-
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
-
Sex Hair Eye 0 Black Brown 0 Black Brown 0 Black Brown 0 Black Brown 0 Black Brown 0 Black Brown 0 Black Brown 0 Black Brown 0 Black Brown 0 Black Brown 0 Black Brown 0 Black Brown 0 Black Brown 0...
-
Ayan ranch Inc. wants to acquire a mechanized feed spreader that costs $80,000. The ranch company intends to operate the equipment for 5 years, at which time it will need to be replaced. However, it...
-
statements such as the amount of material used in production cannot exceed the amount available in inventory would be categorized as what type of constraint? Question content area bottom Part 1...
Study smarter with the SolutionInn App