Interpretation of the second derivative, Mathematics

Assignment Help:

Interpretation of the second derivative : Now that we've discover some higher order derivatives we have to probably talk regarding an interpretation of the second derivative.

If the position of an object is specified by s(t) we know that the velocity is first derivative of the position.

                                                   v (t ) = s′ (t )

First derivative of any velocity is the acceleration of object; however since it is the first derivative of the position function we can also think of the acceleration as the second derivative of the position function.

                                         a (t ) = v′ (t ) = s′′ (t )

Alternate Notation : There is couple of alternate notation for higher order derivatives.  Recall as well that there was a fractional notation for the first derivative.

                                    f ′ ( x ) = df /dx

We should extend this to higher order derivatives.

f ′′ ( x )= d 2 y  / dx                f ′′′ ( x ) = d 3 y/ dx                   etc.


Related Discussions:- Interpretation of the second derivative

Simple equations, three times the first of the three consecutive odd intege...

three times the first of the three consecutive odd integers is 3 more than twice the third integer. find the third integer.

What is the objective of lipids metabolism, What is the objective of lipids...

What is the objective of lipids metabolism ? After studying this unit, you will be able to: 1. explain how fatty acids are oxidized for the production of energy, 2. describe

Quadratic equation, can anyone explain me the concept of quadratic equation...

can anyone explain me the concept of quadratic equation?

Properties for exponents, The next thing that we must acknowledge is that a...

The next thing that we must acknowledge is that all of the properties for exponents . This includes the more general rational exponent that we haven't looked at yet. Now the pr

Hypothesis test, Describe, in your own words, the following terms and give ...

Describe, in your own words, the following terms and give an example of each. Your examples are not to be those given in the lecture notes, or provided in the textbook. By the en

POLYNOMIAL, HOW WE CAN FACTORISE 12X+7X+1

HOW WE CAN FACTORISE 12X+7X+1

Operation, What is a characteristic of operation

What is a characteristic of operation

Area and perimeter, if perimeter is 300m length is 100m.find the breadth

if perimeter is 300m length is 100m.find the breadth

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd