BuyFind

Single Variable Calculus: Concepts...

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

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

Answer to Problem 11E

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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