# 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 12E
To determine

## To find:The differentiation of the given function

Expert Solution

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

### Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!