« previous next »

Author Question: What is the definition of the second derivative? (Read 1139 times)

TI

  • Sr. Member
  • ****
  • Posts: 434
on: Jun 19, 2013
I know the first derivative means the slope of the tangent.  What does the second one mean? Third?


federox

  • Sr. Member
  • ****
  • Posts: 308
Reply #1 on: Jun 19, 2013
The second derivative is the derivative of the derivative: the rate of change of the rate of change.

The third derivative is the derivative of the derivative of the derivative: the rate of change of the rate of change of the rate of change.

Have a good day!


Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question

Hawke

  • Hero Member
  • *****
  • Posts: 679
Reply #2 on: Jun 19, 2013
The second derivative gives you concavity; it tells you, at a given point, whether the curve is concave up or concave down.


« previous next »
 

Did you know?

About 600,000 particles of skin are shed every hour by each human. If you live to age 70 years, you have shed 105 pounds of dead skin.

Did you know?

Pope Sylvester II tried to introduce Arabic numbers into Europe between the years 999 and 1003, but their use did not catch on for a few more centuries, and Roman numerals continued to be the primary number system.

Did you know?

To prove that stomach ulcers were caused by bacteria and not by stress, a researcher consumed an entire laboratory beaker full of bacterial culture. After this, he did indeed develop stomach ulcers, and won the Nobel Prize for his discovery.

Did you know?

There are approximately 3 million unintended pregnancies in the United States each year.

Did you know?

More than one-third of adult Americans are obese. Diseases that kill the largest number of people annually, such as heart disease, cancer, diabetes, stroke, and hypertension, can be attributed to diet.

Proof that the derivative of sin(x) = cos(x) Proof that the derivative of sin(x) = cos(x)
Second Derivative Second Derivative
Find the derivative of g(z) = 4z^7 - 3z^-7 + 9z Find the derivative of g(z) = 4z^7 - 3z^-7 + 9z
Find derivative by using definition of the derivative question 2 Find derivative by using definition of the derivative question 2
Find the derivative using the product rule Find the derivative using the product rule
Find the derivative by using the chain rule, question 2 Find the derivative by using the chain rule, question 2
Video: Kidney Stones

For a complete list of videos, visit our video library