a.
To find: The meaning of the term rejected.
a.
Explanation of Solution
Given information:
The proof of Leibnitz rule
Calculation:
The term “rejected” is used as it equals to approximately to zero or equal to zero.
Conclusion: So, the term rejected or ignored can be used.
b.
To find: The graph of velocity and acceleration.
b.
Explanation of Solution
Given information:
The proof of Leibnitz rule
Calculation:
The terms
Multiplication of two small quantities always results in a very smaller value than other terms in the equation.
Conclusion: So, the existence of the term
c.
To find: The result when the result is divided by
c.
Answer to Problem 59E
The result matches with the product rule.
Explanation of Solution
Concept used:
The product rule is
Given information:
The proof of Leibnitz rule
Calculation:
Divide both sides of the equation
Conclusion: So, the result matches with the result of the product rule.
d.
To find: The reason behind the suggestion not to divide the Leibnitz rule by
d.
Explanation of Solution
Concept used:
The division of any term by
Given information:
The proof of Leibnitz rule
Calculation:
The division of the result by
The term
Conclusion: So, the value of the result makes the result undefined.
e.
To find: The derivation of the
e.
Answer to Problem 59E
The result is
Explanation of Solution
Concept used:
The quotient rule is
Given information:
The proof of Leibnitz rule
Calculation:
Derivation of the quotient rule is as shown below.
Conclusion: So, the result provides the quotient rule.
Chapter 2 Solutions
CALCULUS:GRAPHICAL,...,AP ED.-W/ACCESS
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning