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 12E
To determine

To find:

The differentiation of the given function

Expert Solution

Answer to Problem 12E

Differentiating the function is dzdy=6cy7

Explanation of Solution

Given:

The function is

  B(y)=cy6

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

  B(y)=cy6...................(1)

The derivative of a function

  z=B(y)y=B(y)=dzdy

Differentiating the equation (1) with respect to y

  dzdy=ddy(cy6)dzdy=c(6y7)dzdy=6cy7

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