Explanation Given: Function f ( t ) = 700 − 3 t 2 . Formula Used: Formulas of derivatives are as follows: d d x ( c ) = 0 , where c is a constant. 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, f ( t ) = 700 − 3 t 2 Derivative of the above function is calculated as d d t f ( t ) = d d t ( 700 − 3 t 2 ) f ′ ( t ) = d d t ( 700 ) − d d t ( 3 t 2 ) f ′ ( t ) = d d t ( 700 ) − 3 d d t ( t 2

6th Edition

ISBN: 9781119399322

Author: Hughes-Hallett

Publisher: WILEY

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Question

Chapter 3.1, Problem 43P

To determine

To find and explain the meaning of f(5) and f′(5) for the height of sand dune, where

f(t)=700−3t2.

Expert Solution & Answer

Chapter 3 Solutions

APPLIED CALCULUS (WILEY PLUS)

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To find and explain the meaning of f ( 5 ) and f ′ ( 5 ) for the height of sand dune, where f ( t ) = 700 − 3 t 2 .

Solution Summary: The author explains the meaning of f(t)=700-3t2 for the height of sand dune.

Concept explainers

Videos

To find and explain the meaning of f(5) and f′(5) for the height of sand dune, where

f(t)=700−3t2.

Chapter 3 Solutions

To find and explain the meaning of f ( 5 ) and f ′ ( 5 ) for the height of sand dune, where f ( t ) = 700 − 3 t 2 .

Solution Summary: The author explains the meaning of f(t)=700-3t2 for the height of sand dune.

Concept explainers

Videos

To find and explain the meaning of f(5) and f′(5) for the height of sand dune, where f(t)=700−3t2.

Chapter 3 Solutions

To find and explain the meaning of f(5) and f′(5) for the height of sand dune, where

f(t)=700−3t2.