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 4, Problem 7RQ
To determine

Whether the statement, if f(x)=g(x) for 0<x<1 then f(x)=g(x) for 0<x<1 is true or false.

Expert Solution

Explanation of Solution

The given statement is false.

Reason:

The given statement is false since the below example disproves the statement.

Consider the functions, f(x)=x2+1 and g(x)=x2 .

Differentiate both functions with respect to x.

f(x)=2x and g(x)=2x .

Observe that f(x)=g(x) but f(x)g(x) .

Therefore, the given statement is false.

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!