Explanation Consider the functions, f and g At t = 2 f ( 2 ) = 3 g ( 2 ) = 5 Calculate the value of f g at t = 2 , f g = f ( 2 ) g ( 2 ) = 3 5 Thus the value of f g at t = 2 is 3 5 . As rate of change of the function is the derivative. So, at t = 2 f ' ( 3 ) = 4 g ' ( 3 ) = 6 As Quotient rule of derivative of differentiable functions, f ( x ) and g ( x ) is, d d x [ f ( x ) g ( x ) ] = f ' ( x ) g ( x ) − f ( x ) g ' ( x ) [ g ( x ) ] 2 where, g ( x ) ≠ 0

Student Solutions Manual for Waner/Costenoble's Finite Math and Applied Calculus, 7th

7th Edition

ISBN: 9781337275972

Author: Waner, Stefan; Costenoble, Steven

Publisher: Cengage Learning

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Chapter 11.3, Problem 98E

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To fill: The blanks, ‘If f and g are function of time, f equals 3 and increasing at the rate of 4 units per second, and g equals 5 and increasing at a rate of 6 units per second when t=2, then fg equals and is increasing at the rate of units per second’.

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Chapter 11.3, Problem 97E

Chapter 11.3, Problem 99E

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Chapter 11 Solutions

Student Solutions Manual for Waner/Costenoble's Finite Math and Applied Calculus, 7th

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The blanks, ‘If f and g are function of time, f equals 3 and increasing at the rate of 4 units per second, and g equals 5 and increasing at a rate of 6 units per second when t = 2 , then f g equals and is increasing at the rate of units per second’.

Solution Summary: The author explains that if f and g are function of time, they equal 3 and increasing at the rate of 4 units per second.

Videos

To fill: The blanks, ‘If f and g are function of time, f equals 3 and increasing at the rate of 4 units per second, and g equals 5 and increasing at a rate of 6 units per second when t=2, then fg equals and is increasing at the rate of units per second’.

Want to see the full answer?

Chapter 11 Solutions

The blanks, ‘If f and g are function of time, f equals 3 and increasing at the rate of 4 units per second, and g equals 5 and increasing at a rate of 6 units per second when t = 2 , then f g equals ______ and is increasing at the rate of ______ units per second’.

Solution Summary: The author explains that if f and g are function of time, they equal 3 and increasing at the rate of 4 units per second.

Videos

To fill: The blanks, ‘If f and g are function of time, f equals 3 and increasing at the rate of 4 units per second, and g equals 5 and increasing at a rate of 6 units per second when t=2, then fg equals ______ and is increasing at the rate of ______ units per second’.

Want to see the full answer?

Chapter 11 Solutions

The blanks, ‘If f and g are function of time, f equals 3 and increasing at the rate of 4 units per second, and g equals 5 and increasing at a rate of 6 units per second when t = 2 , then f g equals and is increasing at the rate of units per second’.

To fill: The blanks, ‘If f and g are function of time, f equals 3 and increasing at the rate of 4 units per second, and g equals 5 and increasing at a rate of 6 units per second when t=2, then fg equals and is increasing at the rate of units per second’.