Most Popular Chain Rule Documents

Exam 2 Solutions
School: University Of Washington
Course: MATH 124
... In Version 1, the rope from problem #6 is 26 feet long. 1. (a) Straightforward chain rule stuff: f/(x) = cos(x)+2x ... 1 12 (x − 3). 5. By the chain rule, h/(x) = f/(x)/f(x), so h/(4) = f/(4)/f(4). f/(4) ≈ −1/2, and f(4) ≈ 5/2, so h/(4...

MAT 267 Exam 2 Practice Questions with answers
School: Arizona State University
Course: MAT 267
... Test 2 Solutions 1) Use the chain rule to find ∂z ∂s if z = exy, x = 7s + 8t, y = st4. Applying the chain rule, we have ∂z ...

exam2practicesolutions
School: University Of Georgia
Course: MATH 2250
Math 2250 Exam #2 Practice Problem Solutions 1. Let u(x) = √f(x) and suppose f(3) = 1, f (3) = 8, and f (3) = 2. What is the value of u (3)? Answer: Using the Chain Rule, u (x) = 1 2 (f(x))−1/2f (x). Hence, using the Chain Rule and the Produc...

Assignment 4 Chain rule
School: University Of Waterloo
Course: MATH 237
MATH 237 ASSIGNMENT 4: Chain Rule Winter 2015 Submit your work at ... 1. Let w = x2y + xy3,x = 3t + 5,y = 2t2  10. Use the chain rule to calculate dw dt when t = 2. 2. Write the chain ...
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Assignment 4 Chain rule
School: University Of Waterloo
Course: MATH 237
MATH 237 ASSIGNMENT 4: Chain Rule Winter 2015 Submit your work at ... 1. Let w = x2y + xy3,x = 3t + 5,y = 2t2  10. Use the chain rule to calculate dw dt when t = 2. 2. Write the chain ...


Math for Econ I Practice Problems New York University 5. Product, Quotient, and Chain Rules; Implic
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Math for Econ I Practice Problems New York University 5. Product, Quotient, and Chain Rules; Implic
School: New York University
Course: MATH 211.001
... Calculate the marginal revenue when q = 10. Solution: The marginal revenue, MR, is obtained by differentiating the total revenue function, R. We use the chain rule so MR = dR dq = 1 1 + 1000q2 · d dq (1000q2) = 1 1 + 1000q2 · 2000q. ...


MATH 204 Fall 2007 Assignment 3 Solutions
School: McGill University
Course: MATH 204
MATH 204  SOLUTIONS 3 1. (a) The derivative can be obtained using the chain rule; the derivative of the term (yi − β0 − β1xi)2 with respect to β0 is 2 × (yi − β0 − β1xi) × (−1) = −2(yi − β0 − β1xi) ...

Homework 4
School: University Of Toronto, Mississauga
Course: MATH 21A
Math 21a: Multivariable calculus Homework 4: Chain Rule This homework is due Wednesday, 10/16 rsp Tuesday 10/15. 1 [Compare Stewart 11.5: 2 ] Use the chain rule to find the derivative dz/dt for z = cos(x + 7y) , ...
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exam2practicesolutions
School: University Of Georgia
Course: MATH 2250
Math 2250 Exam #2 Practice Problem Solutions 1. Let u(x) = √f(x) and suppose f(3) = 1, f (3) = 8, and f (3) = 2. What is the value of u (3)? Answer: Using the Chain Rule, u (x) = 1 2 (f(x))−1/2f (x). Hence, using the Chain Rule and the Produc...

265Lesson11Problems(3)
School: University Of North Dakota
Course: MATH 265
MATH 265: MULTIVARIABLE CALCULUS: LESSON 11 PROBLEMS Problems are worth 20 points each. (1) Let f(u, v) = u + v + uv2 and u = u(x, y) = ex + y, v = v(x, y) = xy. Use the Chain Rule to compute ∂f ∂x and ∂f ∂y . (2) Repeat problem 1, but thi...

lab3_f11
School: University Of Waterloo
Course: MATH 116
Math 116  Lab 3  Fall 2011. Rules for differentiation, chain rule, derivatives of trig, exponential, hyperbolic, inverse trig and inverse hyperbolic functions (Sections 3.3, 3.53.7 of L/G). You are to provide full solutions to the following pro...

Review for Test 2Key
School: Miami Dade College, Miami
Course: MAC 2233
Review for 2.4 3.3. Show all possible work on this paper. Section 2.4. 1. Use the chain rule to find dy / dx if and . 2.4. 2. Use the general power rule to differentiate . Write final answer in radical form with only positive exponents. 2.4. Se...
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Exam 2 Solutions
School: University Of Washington
Course: MATH 124
... In Version 1, the rope from problem #6 is 26 feet long. 1. (a) Straightforward chain rule stuff: f/(x) = cos(x)+2x ... 1 12 (x − 3). 5. By the chain rule, h/(x) = f/(x)/f(x), so h/(4) = f/(4)/f(4). f/(4) ≈ −1/2, and f(4) ≈ 5/2, so h/(4...

MAT 267 Exam 2 Practice Questions with answers
School: Arizona State University
Course: MAT 267
... Test 2 Solutions 1) Use the chain rule to find ∂z ∂s if z = exy, x = 7s + 8t, y = st4. Applying the chain rule, we have ∂z ...

Final Exam Study Guide on Calculus II
School: University Of Illinois, Chicago
Course: MATH 181
... 1. Differentiate the function: F(x) = ∫ x2 √x et3 dt Solution: Using the Fundamental Theorem of Calculus Part II and the Chain Rule, the derivative of F(x) = ∫ h(x) g(x) f(t) dt is: F′(x) = d dx ∫ h(x) g(x) f(t) dt ...

Math104T2BookletSolutionsFall2014
School: University Of British Columbia
Course: MATH 184
... Math104/184 MT2 Solutions Chapter 1 Practice Exam Problems 1.1.1 Evaluating Derivatives 1.01 Solution: By using the Chain Rule twice, we get ...