Most Popular The 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= − ...

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 ...

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 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) , ...

Q_Differentiation and rates of change
School: The Hong Kong University Of Science And Technology
Course: MATH 1013
... on Dierentiation and Rates of Change Working with implicit dierentiation and logarithmic dierentiation  just another usage of the chain rule. ...

hw6sol
School: Cornell University
Course: MATH 1920
14.6 The Chain Rule (LT Section 15.6) ... 4. According to the Chain Rule, ∂f/∂r is equal to (choose the correct answer): ...
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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 ...

Wk1DiscJohnsonB
School: Walden University
Course: BUSI MRKT 3005
Math is used just about every day in life. We use math to buy groceries when wecount money or add up how much we are spending. My current job as the billingmanager for a medical practice allows me to use math daily to keep track of patientaccounts...

Math 10A Notes  The Chain Rule
School: University Of California, San Diego
Course: MATH 10A
... The Chain Rule: Or, if and then =. Example: =. =. =. =. ... Example: [Product Rule]. [Chain Rule]. Example: [Quotient Rule]. Alternatively: ...

3.4 Preclass Homework  Chain Rulesolutions
School: University Of Texas
Course: M 408N
schreiber (mcs3445) 3.4 Preclass Homework  Chain Rule maxwell (55700) 1 This printout should have 5 questions. Multiplechoice questions may continue on the next column or page find all choices before answering. 001 10.0 points Find ...
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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= − ...

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 ...

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 ...