(a) If f (x, y) = y x 3 + 2x write down expressions for f...
Question:
(a) If f (x, y) = y − x3 + 2x write down expressions for fx and fy. Hence use implicit differentiation to find dy/dx given that y − x3 + 2x = 1
(b) Confirm your answer to part (a) by rearranging the equation y − x3 + 2x = 1 to give y explicitly in terms of x and using ordinary differentiation.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 80% (10 reviews)
a fx3x 2fy ...View the full answer
Answered By
Rustia Melrod
I am a retired teacher with 6 years of experience teaching various science subjects to high school students and undergraduate students. This background enables me to be able to help tutor students who are struggling with the science of business component of their education. Teaching difficult subjects has definitely taught me patience. There is no greater joy for me than to patiently guide a student to the correct answer. When a student has that "aha!" moment, all my efforts are worth it.
The Common Core standards are a useful yardstick for measuring how well students are doing. My students consistently met or exceeded the Common Core standards for science. I believe in working with each student's individual learning styles to help them understand the material. If students were struggling with a concept, I would figure out a different way to teach or apply that concept. I was voted Teacher of the Year six times in my career. I also won an award for Innovative Teaching Style at the 2011 National Teaching Conference.
4.90+
4+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Use implicit differentiation to find dy/dx. +1 y 1
-
Use implicit differentiation to find dy/dx. x + y 2 = sin y
-
Use implicit differentiation to find dy/dx. cos y 2 + x = e y
-
A double-ended queue or deque (pronounced "deck") is a collection that is a combination of a stack and a queue. Write a class Deque that uses a linked list to implement the following API: public...
-
A mixture of 60% N2 and 40% O2 by mass enters an insulated nozzle at 200 8F and 30 psia with a velocity of 10 fps. If it exits the nozzle at 80 8F, determine the exiting pressure and velocity.
-
In exercises, find an equation in slope-intercept form for each line. Through 12/3, 1/22 and 11/4, -22
-
The computer chips in today's notebook and laptop computers are produced from semiconductor wafers. Certain semiconductor wafers are exposed to an environment that generates up to 100 possible...
-
Of the ineffective resolution examples, which was the worst, in your opinion? Why?
-
A $200 petty cash fund has cash of $10 and receipts of $220. The journal entry to replenish the account would include a credit to
-
A tabular summary of the transactions for Star & Co., an accounting fi rm, for its first month of operations, July 2014, follows: Instructions (a) Describe each transaction that occurred in the...
-
Use the small increments formula to estimate the change in z = x 2 y 4 x 6 + 4y when (a) x increases from 1 to 1.1 and y remains fixed at 0; (b) x remains fixed at 1 and y decreases from 0 to 0.5;...
-
Find the first-order partial derivatives, For each of the following functions: (a) z = u + v 2 5w 3 + 2uv (b) z = 6u 1/2 v 1/3 w 1/6 ' w z z e
-
For the 2 Ã 3 table on gender and happiness in Exercise 11.4 (shown again following), software tells us that X2 = 0.46 and the P-value = 0.79. a. State the null and alternative hypothesis, in...
-
Q13. The probability that Ryan will roll a three using a standard die is 1/6. Let Y = number of times that Ryan has to roll a die in order to roll the first three. What is the expected value for Y?...
-
1. The following are data for two IT projects for a new database system. Prepare a spreadsheet for two projects, using the following data. Amounts are in thousands of dollars. Calculate the NPV for...
-
The Matsui Lubricants plant uses the weighted-average method to account for its work-in-process inventories. The accounting records show the following information for a particular day: Beginning WIP...
-
James Cook, a production department worker, is paid on hourly basis at a rate of $15 per hour. James works 40 hours per week. Any time James works over 40 hours, it is considered as overtime and he...
-
You just started working as a Health Service Manager within one of the following healthcare industries. First, choose an industry below to discuss the questions that follow: Ambulatory Surgery center...
-
Graph a sample space for the experiments: Rolling 2 dice
-
Horse serum containing specific antibody to snake venom has been a successful approach to treating snakebite in humans. How do you think this anti-venom could be generated? What are some advantages...
-
For Problem find x, y, or b without using a calculator. log b 81 = -4
-
Solve Problem for x to four decimal places. x = 230 (10 - 0.161 )
-
In Problem find the equation of any horizontal asymptote. 1 - 5x + x? f(x) 2 + 3x + 4x2
-
During 2024, its first year of operations, Hollis Industries recorded sales of $11,900,000 and experienced returns of $760,000. Cost of goods sold totaled $7,140,000 (60% of sales). The company...
-
What is the value of a 15% coupon bond with 11% return? Is it a discount or a premium bond?
-
A manufacturer with a December 31 taxation year end sells new machinery for $50,000 on January 2, 2022. The cost of the machinery is $20,000. The terms of the sale require an initial payment of...
Study smarter with the SolutionInn App