The differentiation of the given function

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Single Variable Calculus: Concepts...

4th Edition
James Stewart
Publisher: Cengage Learning
ISBN: 9781337687805

Solutions

Chapter 3.1, Problem 11E
To determine

To find:The differentiation of the given function

Expert Solution

Differentiating the function is dyds=24s3

Explanation of Solution

Given:

The function is

A(s)=12s2

Concept used:

Definition of the differentiation:-Differentiation is the action of computing a derivative

The derivative of a function y=f(x) of a variable x is a measure of the rate at which the value y of the function changes with respect to x

Calculation:

The function

A(s)=12s2...................(1)

The derivative of a function

y=f(x)y=f(x)=dydx

Differentiating the equation (1) with respect to s

dyds=dds(12s2)dyds=12×(2)s3dyds=24s3

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