Explanation Given: Function C ( t ) = 3.5 sin ( π 6 t ) + 381 + t 6 . Formula Used: Formula of derivatives are as follows: d d x ( sin x ) = cos x d d x ( x n ) = n x n − 1 d d x c . f ( x ) = c . d d x f ( x ) Calculation: Function is given as C ( t ) = 3.5 sin ( π 6 t ) + 381 + t 6 . Derivative of the above function is calculated as d d t ( C ( t ) ) = d d t ( 3.5 sin ( π 6 t ) + 381 + t 6 ) C ′ ( t ) = d d t ( 3.5 sin ( π 6 t ) ) + d d t ( 381 ) + d d t ( t 6 ) C ′ ( t ) = 3.5 d d t sin ( π 6 t ) + 0 + 1 6 d d t ( t ) C ′ ( t ) = 3

6th Edition

ISBN: 9781119275565

Author: Hughes-Hallett

Publisher: WILEY

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Question

Chapter 3.5, Problem 29P

To determine

To find derivative of the below function at t=30.

C(t)=3.5sin(π6t)+381+t6

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Chapter 3.5, Problem 28P

Chapter 3.5, Problem 30P

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To find derivative of the below function at t = 30 . C ( t ) = 3.5 sin ( π 6 t ) + 381 + t 6

Solution Summary: The author explains how to find derivative of the below function at t=30.

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To find derivative of the below function at t=30.

C(t)=3.5sin(π6t)+381+t6

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Chapter 3 Solutions

To find derivative of the below function at t = 30 . C ( t ) = 3.5 sin ( π 6 t ) + 381 + t 6

Solution Summary: The author explains how to find derivative of the below function at t=30.

Videos

To find derivative of the below function at t=30. C(t)=3.5sin(π6t)+381+t6

Want to see the full answer?

Chapter 3 Solutions

To find derivative of the below function at t=30.

C(t)=3.5sin(π6t)+381+t6