« previous next »

Author Question: What does the limit of the derivative of a function tell you? (Read 1020 times)

aero

  • Hero Member
  • *****
  • Posts: 512
on: Jun 19, 2013
Starting with the function F(x) = (x^2 - 8)/(x+3), I took the derivative of it and got (x^2+6x+8)/(x+3)^2. Then I found the limit of that as x approached infinity, and it was 1. What does that answer tell me about F(x), the original function?

And please don't post any silly answers. Thanks.


j_sun

  • Sr. Member
  • ****
  • Posts: 384
Reply #1 on: Jun 19, 2013
You did the derivative and the limit correctly.
In the limit, the slope of F is 1 means that eventually, the function F  is increasing 1 unit for every unit of x.
So the graph of F will eventual look like   F approximately =  1*x +b


Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question
« previous next »
 

Did you know?

As of mid-2016, 18.2 million people were receiving advanced retroviral therapy (ART) worldwide. This represents between 43–50% of the 34–39.8 million people living with HIV.

Did you know?

The calories found in one piece of cherry cheesecake could light a 60-watt light bulb for 1.5 hours.

Did you know?

The first oral chemotherapy drug for colon cancer was approved by FDA in 2001.

Did you know?

Adult head lice are gray, about ? inch long, and often have a tiny dot on their backs. A female can lay between 50 and 150 eggs within the several weeks that she is alive. They feed on human blood.

Did you know?

As the western states of America were settled, pioneers often had to drink rancid water from ponds and other sources. This often resulted in chronic diarrhea, causing many cases of dehydration and death that could have been avoided if clean water had been available.

A hypothesis that suggests an explanation of the function of the gene that is defective in patients A hypothesis that suggests an explanation of the function of the gene that is defective in patients
Hydration is essential to body function, especially engaged in strenuous activities Hydration is essential to body function, especially engaged in strenuous activities
How to plot a sine function containing an amplitude and phase shift (Question 1 of 3) How to plot a sine function containing an amplitude and phase shift (Question 1 of 3)
How to determine if a table of values represents a function How to determine if a table of values represents a function
Trigonometric Function Question Trigonometric Function Question
Find derivative by using definition of the derivative question 2 Find derivative by using definition of the derivative question 2
Video: Ionic bonds - role of ions in the body

For a complete list of videos, visit our video library