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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Verifying Properties of Logarithms In Exercises 89 and 90, use a graphing utility to verify that the functions are equivalent for x > 0.

f ( x ) = ln x ( x 2 + 1 )

g ( x ) = 1 2 [ ln x + ln ( x 2 + 1 ) ]

To determine

To prove: The functions f(x)=ln(x(x2+1)) and g(x)=12[lnx+ln(x2+1)] are same for x>0 using the technology.

Explanation

Given Information:

The provided functions are f(x)=ln(x(x2+1)) and g(x)=12[lnx+ln(x2+1)].

Proof:

Consider the functions, f(x)=ln(x(x2+1)) and g(x)=12[lnx+ln(x2+1)]

Now, plot the graph of the functions f(x)=ln(x(x2+1)) and g(x)=12[lnx+ln(x2+1)] using Ti-83 graphing calculator as follows:

Step 1. Press “Y=” key and insert the function as,

Y1=ln((X(X^2+1)))

Step 2

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