Explanation Given: Function ω = ( t 2 + 1 ) 100 . Formula Used: Formula 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 ) Chain Rule of derivative is as follows: d d x f ( u ) = d f d u . d u d x Calculation: Function is given as ω = ( t 2 + 1 ) 100 . Derivative of the above function with respect to t is calculated as d ω d t = d d t ( t 2 + 1 ) 100 . Let u = t 2 + 1 and ω = u 100 Now, the derivative is given as d ω d t = d ω d u . d u d t d ω d t = d d u ( u 100 )

6th Edition

ISBN: 9781119267874

Author: Hughes-Hallett

Publisher: WILEY

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Question

Chapter 3.3, Problem 3P

To determine

To find derivative of the below function

ω=(t2+1)100.

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Chapter 3.3, Problem 2P

Chapter 3.3, Problem 4P

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Chapter 3 Solutions

APPLIED CALCULUS-WILEYPLUS

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