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 1, Problem 23RE
To determine

To find: The value of f1(2) if f(x)=2x+lnx.

Expert Solution

Answer to Problem 23RE

Solution:

The value of f1(2)=1.

Explanation of Solution

Given:

The function is, f(x)=2x+lnx.

Calculation:

Substitute f(x)=2 in the given function and solve as follows.

2=2x+lnx2=lne2x+lnx[lnex=x]2=ln(e2xx)e2=eln(xe2x)

Simplify further as, e2=xe2x.

Notice that this is true only when x = 1.

Therefore, f(1)=2.

That is, the required value is, f1(2)=1.

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