Most Popular Quotient Rule Documents

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...

Weekly_Checkin_Assignment_8_Solution
School: Monroe Community College
Course: MTH 200
... Calculate the derivative of the following functions, do not simplify your answers. 1. 3 ln )( x x xf = We can use the Product Rule (after rewriting the function) of Quotient Rule. Using the Quotient Rule: 23 2 3 )( ln)3( 1 )(' x x x x x xf...

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...

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 ...
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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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Weekly_Checkin_Assignment_8_Solution
School: Monroe Community College
Course: MTH 200
... Calculate the derivative of the following functions, do not simplify your answers. 1. 3 ln )( x x xf = We can use the Product Rule (after rewriting the function) of Quotient Rule. Using the Quotient Rule: 23 2 3 )( ln)3( 1 )(' x x x x x xf...

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...
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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
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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: ...

Math 31A Midterm 1 Solutions
School: University Of California, Los Angeles
Course: MATH 31A
... Solution. We first apply the quotient rule ... dx when x = 0 and y = 1. On the left hand side of the equation we'll use the quotient and product rules and on the right we'll use the chain rule: d dx (x2 y + y(x − 1) ) = d dx cos(πy)...