   Chapter 12.3, Problem 38E ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# In Problems 37-40, a family of functions is given and graphs of some members are shown. Find the function f ( x ) such that the family is given by ∫ f ( x ) d x . F ( x ) = − ln ( x 2 + 4 ) + C To determine

The function f(x) such that the family is given by f(x)dx=F(x) where F(x)=ln(x2+4)+C

Explanation

Given information:

The provided graph is:

The provided function is:

F(x)=ln(x2+4)+C

Explanation:

Consider the provided graph of the function:

And the provided functions is:

F(x)=x+ln|x|+C

If F'(x)=f(x)

Now find out the first derivative of the provided function as:

f(x

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