Most Popular Quotient Rule Documents

test2s
School: The University Of Hong Kong
Course: MATH 0211
... 1. (a) 6 (b) 1 − lnx x2 (c) 18x(x2 + 1)8 (d) − y2 + 1 2xy (e) Positive 2. (a) By the quotient rule, we have f (x) = (x2 + 1)(2x) − (x2 − 1)(2x) (x2 + 1)2 = 4x (x2 + 1)2 and f (x) = 4(x2 + 1)2 − 4x · 4x(x2 + 1) (x2 + 1)4 = 4(1 − 3x...

m147A4sol
School: University Of Waterloo
Course: MATH 147
MATH 147 Assignment #4 Solutions 1) a) Find the derivative of each of the following functions. i) y = cos(3x2) + arcsin(x) ii) f(x) = tan(x) ex iii) f(x) = xsin(x) Solutions i) We have y = −6xsin(3x2) + 1 √ 1−x2 . ii) The Quotient Rule shows...

Product and Quotient Rule
School: University Of Massachusetts, Amherst
Course: CALC 127
... Note that So as it turns out we cannot just take the derivative of each function and multiply the result when finding the derivative of a product. Quotient Rule: If and both exist then: Product and Quotient Rule Chapter 3 Page 1 ...

practiceexam2solutions
School: University Of Louisville
Course: MATH 180
MATH 180 Practice Exam #2 Solutions 1. (15 points) Find the following derivatives: (a) (5 points) For y = x7−x3 2+x , evaluate dy dx . Using the quotient rule, dy dx = d dx x7 − x3 2 + x = (2 + x) d dx (x7 − x3) − (x7 − x3) d dx (2 + x) ...
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MATH 117 All DQs
School: University Of Phoenix
Course: MAT 117
... The three rules for exponents listed in the chart on page 239 of this week's text include: the product rule, the quotient rule, and the power rule. ...
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Math 1131Q Homework 3 and Solutions
School: University Of Connecticut
Course: MATH 1131Q
Worksheet 3: Derivatives Name: Section No: Compute the derivatives of the following functions using the dierentiation rules up through section 3.4 (power rule, sum rule, product rule, quotient rule, chain rule). ...

Worksheet 16
School: The Hong Kong University Of Science And Technology
Course: MATH 1013
... Fall 2015 Lecture #16 30/10/2015 [References: Textbook #4.2, #4.3, Instructor's Notes #4.4, #4.6] 1. Let f (x) = x2/3(6−x) 1/3. It can be shown using product/quotient rule that: f (x) = 4−x x1/3(6−x)2/3 , f (x) = −8 x4/3(6−...

GW9(1)
School: University Of Illinois, Urbana Champaign
Course: MATH 234
... Quotient Rule If f(x) = g(x) h(x) , Then f/(x) = h(x)g/(x) − g(x)h/(x) h(x)2 Using these rules (and not the limit definition of derivative), find the derivatives of the following functions. ... The mistake was the numerator portion of the Qu...

DiscussionMAT_110112_solutions
School: University Of California, Davis
Course: MATH 17A
... PROBLEM 2. Find the derivative of p(x) by (1) first expanding the product and then computing the derivative. (2) using the product rule and then simplifying. PROBLEM 3. PROBLEM 4. QUOTIENT RULE: PROBLEM 5. ...
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Nicholas Terrones Week 2 Lab Page 3 GRADED 1  23  16 DR(1)
School: DeVry University, Chicago
Course: MATH 260
Category 3: Quotient Rule ... 4.) Describe, in your own words, how to find the derivative using the Quotient rule, then find f '(x) for ?v4 v t I(X) = 2x'3 ...

F_Michael_Lab1_20130617
School: ITT Tech
Course: MA 1210
... 2. The product rule for exponents is that you add them. The quotient rule for exponents is that you subtract them. Product rule exercise: = x to the 16 th power. = x to the 6 th power. Quotient rule exercise: = x to the 20 th power. ...

lab H mth 241 differentiation practice, graph interpretation
School: Oregon State University
Course: MTH 241
Quotient Rule Notes View All Quotient Rule Study Resources Notes

m147A4sol
School: University Of Waterloo
Course: MATH 147
MATH 147 Assignment #4 Solutions 1) a) Find the derivative of each of the following functions. i) y = cos(3x2) + arcsin(x) ii) f(x) = tan(x) ex iii) f(x) = xsin(x) Solutions i) We have y = −6xsin(3x2) + 1 √ 1−x2 . ii) The Quotient Rule shows...

Product and Quotient Rule
School: University Of Massachusetts, Amherst
Course: CALC 127
... Note that So as it turns out we cannot just take the derivative of each function and multiply the result when finding the derivative of a product. Quotient Rule: If and both exist then: Product and Quotient Rule Chapter 3 Page 1 ...

practiceexam2solutions
School: University Of Louisville
Course: MATH 180
MATH 180 Practice Exam #2 Solutions 1. (15 points) Find the following derivatives: (a) (5 points) For y = x7−x3 2+x , evaluate dy dx . Using the quotient rule, dy dx = d dx x7 − x3 2 + x = (2 + x) d dx (x7 − x3) − (x7 − x3) d dx (2 + x) ...

151_N2_derivative
School: Alexander College
Course: MATH 102
... Exponentials 3 Notation Constant Rule Power Rule Sum of Functions Exponentials 2.2 Product Rule and Quotient Rule 5 Product Rule Quotient Rule 2.3 Derivatives of Trigonometric Functions 6 Trigonometric ...
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test2s
School: The University Of Hong Kong
Course: MATH 0211
... 1. (a) 6 (b) 1 − lnx x2 (c) 18x(x2 + 1)8 (d) − y2 + 1 2xy (e) Positive 2. (a) By the quotient rule, we have f (x) = (x2 + 1)(2x) − (x2 − 1)(2x) (x2 + 1)2 = 4x (x2 + 1)2 and f (x) = 4(x2 + 1)2 − 4x · 4x(x2 + 1) (x2 + 1)4 = 4(1 − 3x...

calc final cheat sheet
School: Oklahoma State University
Course: MATH 2103
... THE CHAIN RULE: d/dt (f(g(t))) = f I (g(t)) xg I (t). PRODUCT RULE: (fg) I = f I g + fg I. QUOTIENT RULE: (f/g) = f I g fg I / g 2. PERIODIC : P=P o a t ; a = 1 +/ r. CONTINUOUS: P=P o e rt. EQUILIBRIUM POINT: where supply=demand. ...

MA1310_Quiz_2
School: ITT Technical Institute Norwood Campus, Norwood OH
Course: MA 1310
... Logarithmic form: Exponential form: Product Rule: Quotient Rule: Power Rule: Change of Base: Calculator Hints: ... Expanding Logarithms. Product Rule: Quotient Rule: Power Rule: Condensing Logarithms. Product Rule: Quotient Rule: ...

11_3 The product and Quotient Rules final version
School: Arizona State University
Course: MAT 210
... The Product and Quotient Rules The Product Rule If f(x) and g(x) are differentiable functions of x, then so is their product f(x)g(x) where ...