Two composite functions are given that look similar, but in fact are quite different. Identify the inner
Question:
Two composite functions are given that look similar, but in fact are quite different. Identify the inner function u = g(x) and the outer function y = f(u); then evaluate dy/dx using the Chain Rule.
a. y = cos3 x
b. y = cos x3
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 71% (7 reviews)
a u gx cos x y fu u 3 So b u ...View the full answer
Answered By
Vineet Kumar Yadav
I am a biotech engineer and cleared jee exam 2 times and also i am a math tutor. topper comunity , chegg India, vedantu doubt expert( solving doubt for iit jee student on the online doubt solving app in live chat with student)
5.00+
2+ Reviews
10+ Question Solved
Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Question Posted:
Students also viewed these Mathematics questions
-
a. Identify the inner function g and the outer function f for the composition f(g(x)) = e kx , where k is a real number. b. Use the Chain Rule to show that d/dx (e kx ) = ke kx .
-
Evaluate the integral. a. « sin2x cos3 x dx b. c. /2 ' sine cose d9 cOS
-
Evaluate sin x cos x dx by four methods: (a) The substitution u = cos x, (b) The substitution u = sin x, (c) The identity sin 2x = 2 sin x cos x, and (d) Integration by parts. Explain the different...
-
What are due process and stare decisis, and why are they important?
-
Consider the following frequency distribution. Class..........................Frequency 10-19...................................10 20-29...................................14...
-
The steel shaft has a diameter of 40 mm and is fixed at its ends A and B. If it is subjected to the couple, determine the maximum shear stress in regions AC and CB of the shaft. G st = 75 GPa. 3 kN A...
-
As a normal part of tests of controls for cash disbursements, an auditor examines signatures and endorsements on canceled checks, if they're available, looking specifically for unusual items. Give...
-
You are the IT manager at a regional moving company that recently merged with a major competitor. The company president asked you to prepare requirements for a new information system to support the...
-
Lois's Furniture uses a periodic inventory system. Lois sold 60 tables during August. Other data for August include: Aug. 1 Balance 10 @ $150 22 @ $160 9 Purchased 18 Purchased 30 @ $200 Cost of...
-
Of the 196 students in the entering class at Lakeside Community College, 100 of them plan to participate in sports, 85 in student government, and 55 in the theater arts. 27 indicated they would...
-
Use Version 2 of the Chain Rule to calculate the derivatives of the following functions. y = sin (4 cos z)
-
Two composite functions are given that look similar, but in fact are quite different. Identify the inner function u = g(x) and the outer function y = f(u); then evaluate dy/dx using the Chain Rule....
-
Compute net sales, gross profit, and the gross margin ratio for each separate case a through d. Interpret the gross margin ratio for case a. ales Sales discounts Sales returns and allowances Cost of...
-
Quantitatively, how important is international trade to the United States relative to the importance of trade to other nations? What country is the United States most important trading partner,...
-
In 2018, manufacturing workers in the United States earned average compensation of $21.86 per hour. That same year, manufacturing workers in Mexico earned average compensation of $3.20 per hour. How...
-
It is a fact that (1 + 0.12)3 = 1.40. Knowing that to be true, what is the present value of $140 received in three years if the annual interest rate is 12 percent? a. $1.40 b. $12 c. $100 d. $112
-
The interest rate on short-term U.S. government bonds is 4 percent. The risk premium for any asset with a beta = 1.0 is 6 percent. What is the average expected rate of return on the market portfolio?...
-
Albert Mitchell started Worldwide Travel Service on 1 April of the current year, and the business engaged in the following transactions during April: Required: a Prepare journal entries to record the...
-
Why do so many entrepreneurs experience failure?
-
Let (X. A. p) be a measure space. Show that for any A,B A, we have the equality: (AUB)+(An B) = (A) + (B).
-
If f (x, y, z) = xy 2 z 3 + arcsin(xz), find f xzy .
-
If g(x, y, z) = 1 + xz + 1 - xy , find g xyz .
-
Use the table of values of f (x, y) to estimate the values of f x (3, 2), f x (3, 2.2), and f xy (3, 2). 1.8 2.0 2.2 2.5 12.5 10.2 9.3 18.1 3.0 17.5 15.9 3.5 26.1 20.0 22.4
-
The following information relates to production activities of Mercer Manufacturing for the year. Actual direct materials used 16,800 pounds at $4.45 per pound Actual direct labor used 17,435 hours at...
-
The bond market is the largest global financial market. Corporations, municipalities, and governments need to raise funds constantly, and debt is one of the easiest and cheapest ways to do it. Equity...
-
Elbow Bend Hotel Rooms Information Total Rooms=100 Deluxe room=40 Executive rooms= 50 Suites= 10 Suites are 100% sold every month and the other two categories split the rest of the rooms sold...
Study smarter with the SolutionInn App