Use the formula in Exercise 55 to find dy/dx if a. y = (sin -1 x) 2
Question:
Use the formula in Exercise 55 to find dy/dx if
a. y = (sin-1 x)2
b.
Exercise 55
Assume that y = sin-1 x is a differentiable function of x. By differentiating the equation x = sin y implicitly, show that dy/dx = 1/√1 - x2.
Transcribed Image Text:
y sin
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 33% (6 reviews)
ANSWER a To find dydx if y sinx we can use the chain rule an...View the full answer
Answered By
User l_917591
As a Business Management graduate from Moi University, I had the opportunity to work as a tutor for undergraduate students in the same field. This experience allowed me to apply the theoretical knowledge I had gained in a practical setting, while also honing my teaching and communication skills.
As a tutor, I was responsible for conducting tutorial sessions, grading assignments and exams, and providing feedback and support to my students. I also assisted with the preparation of course materials and collaborated with other tutors and professors to ensure consistency in teaching and assessment.
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
-
Use the formula in Exercise 69(a) to find the curvature of the cycloid x = sin , y = 1 cos at the top of one of its arches.
-
Use the formula in Exercise 69(a) to find the curvature of the cycloid x = - sin , y = 1 - cos at the top of one of its arches.
-
Sonal Singh is a lawyer employed by Just and Fare Solicitors who act for Alice Tay, the applicant in a de facto relationships property dispute in the Federal Circuit Court. Taylor Merdec is a lawyer...
-
Continuing the previous problem, suppose that the officials in this city want to estimate the difference between the proportions, labeled p1 and p2, of taxpayers living in neighborhood 1 whose annual...
-
Rae sold four pieces of gold when the price was $1569 per ounce. If the pieces weighed, in ounces, 1 13, 2 34, 1 58, and 3 56, respectively, what was the total selling value of the four pieces?
-
Use the NBA PER data introduced in Problem 8.21 and consider the model found in Problem 8.22. After the outliers are removed it is not obvious that all of the terms in the model are important. Refine...
-
Rank the following securities from lowest (1) to highest (8) in terms of their riskiness for an investor. All securities (except the Treasury bond) are for a given firm. If you think two or more...
-
Farr Demolition stock sells for $23 per share. The firm has a rights offer outstanding for new equity shares. DeAndrea currently owns 200 shares. She just received one right for every share she owns....
-
You are a young CPA just starting your own practice in Hollywood, California, after five years experience with a Big 4 firm. You have several connections in the entertainment industry and hope to...
-
Find the derivatives of the function. y = 2(ln x) x/2
-
What is special about the functions Explain. 1 x + 1 f(x) = sin-1. and g(x) tan- =
-
Design a semi-structured interview questionnaire for a position with which you are extremely familiar, basing the candidate-specific questions on your own rsum. Ensure that behavioural, situational,...
-
A long hollow cylinder with internal radius a and external radius b is made of an elastic material elastic modulus of E = 100GPa and Poisson's ratio of v = 0.25. The hollow cylinder was subjected to...
-
Consider a gas that obeys Bose-Einstein statistics, at a temperature below the Bose-Einstein condensation temperature TBE.
-
When electromagnetic radiation strikes perpendicular to a flat surface, a totally absorbing surface feels radiation pressure Io/c, where Io is the intensity of incident electromagnetic radiation. A...
-
Retail price data for n = 60 hard disk drives were recently reported in a computer magazine. Three variables were recorded for each hard disk drive as shown to the right.. y = Retail PRICE (measured...
-
Design a steam power plant using the Rankine cycle assuming that the turbine operates with an entering pressure of 6.1 MPa, an entering temperature of 510 C, and an exiting pressure of 1.5 kPa. Find...
-
For the data discussed in Problem 6, provide numerical values for the following quantities: a. r2YX1 b. R2Y|X1, X2 c. R2Y|X1, X2, X3 d. r2YX3 | X1, X2 e. r2YX2 | X1
-
Carlton Stokes owns and operates a car-detailing business named SuperShine & Detailing. For $150, Carltons business will hand wash and wax customers cars, vacuum the interior, and thoroughly clean...
-
Prove the statement using the , definition of a limit. lim |x| =0
-
Find the limit or show that it does not exist. + 3x2 lim 4 1 > 00
-
Prove the statement using the precise definition of a limit. lim (14 5x) = 4
-
To make correct decisions in personal and business life, people should be guided by the following reasonably complete list of independent and ultimate principles: Principle of solidarity, Principle...
-
Max Underwood is an employee of Abbott Ltd. He receives a salary of $8,000 per month. In July of 2023 he was in an automobile accident and was unable to work for four months. He is a member of his...
-
Louvre Corp. applies the weighted average method for process costing. The following production and cost per EUP data are available for Louvre Corp. for February: Units completed during February...
Study smarter with the SolutionInn App