Most Popular Chain Rule Documents

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 ...

Exam2Type1Sol
School: San Diego State University
Course: MATH 252
... 1. We have d dx F (x, y (x)) = 0 for each x ∈ J. By the chain rule, 0 = d dx F (x, y (x)) = dF (x, y) dx + dF (x, y) dy dy dx Therefore, dy dx= − ...


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. ...


exam2solutions
School: University Of Georgia
Course: MATH 2250
Math 2250 Exam #2 Solutions 1. Find the derivatives of the following functions. (a) f(x) = ln(tan−1 x) Answer: Using the Chain Rule, f (x) = 1 tan−1 x d dx (tan−1 x) Remembering that the derivative of tan−1 x is 1 1+x2 , the above becomes ...
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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. ...


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 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 21aY
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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Nicholas Terrones Week 2 Lab Page 4 GRADED 1  23  16 DR
School: DeVry University, Chicago
Course: MATH 260
Category 4: Chain Rule ... 6.) Describe, in your own words, how to find the derivative using the Chain Rule, then find the ...

MA103_W14_wk6solns
School: Wilfred Laurier University
Course: MA 103
MA103 Week 6 Report  Chain Rule; Implicit Differentiation; Logarithms Name: Student Number: Lab Winter 2014 ...

M137week5
School: University Of Waterloo
Course: MATH 137
... 1. Chain Rule revisited Chain Rule. [f(g(x))] = f (g(x)) · g (x) Remark. In Leibniz notation, if y = f(u) with u = g(x), then Chain Rule says ...

MTH240Lab12
School: Ryerson University
Course: MTH MTH240
Ryerson University Lab 12  MTH 240 1. Problem 7 Section 14.5 Use the chain rule to nd z/s and z/t. z = x2 y 3 , x = s cot t, y = s sin t 2. Problem 21 Section 14.5 Use the chain rule to nd z/s, z/t and z/u when s = 4, t = 2, u = 1. z = x4 + x2 y ...
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exam2solutions
School: University Of Georgia
Course: MATH 2250
Math 2250 Exam #2 Solutions 1. Find the derivatives of the following functions. (a) f(x) = ln(tan−1 x) Answer: Using the Chain Rule, f (x) = 1 tan−1 x d dx (tan−1 x) Remembering that the derivative of tan−1 x is 1 1+x2 , the above becomes ...

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...

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...

Practice2S
School: University Of Illinois, Urbana Champaign
Course: MATH 231E
Math 231E. Fall 2013. Midterm 2 Practice Solutions. Problem 1. Compute the derivatives of the following functions a. f(x) = cos(x2)esin(x) b. f(x) = arctan(x) c. f(x) = ln(ex(1 + x2 + x3)) Solution: a. We use the product and chain rules. We have d...
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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 ...

Exam2Type1Sol
School: San Diego State University
Course: MATH 252
... 1. We have d dx F (x, y (x)) = 0 for each x ∈ J. By the chain rule, 0 = d dx F (x, y (x)) = dF (x, y) dx + dF (x, y) dy dy dx Therefore, dy dx= − ...

Chain Rule HW 2
School: Estrella Mountain Community College
Course: MAT 220
MAT 220 CHAIN RULE HOMEWORK 2: TRIGONOMETRIC DERIVATIVES Determine the derivative of each function. ...

calc final cheat sheet
School: Oklahoma State University
Course: MATH 2103
DERIVATIVE RULESd/dt (ekt) = kektd/dx (lnx) = 1/xd/dt (et) = etd/dx (ax) = (lna)axif y=clnx, then dy/dx = c/xTHE CHAIN RULE: d/dt (f(g(t) = f I(g(t) x gI(t)PRODUCT RULE: (fg) I = f I g + fg IQUOTIENT RULE: (f/g) = f I g fg I / g2PERIODIC : P ...