Interpretation of the second derivative, Mathematics

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.

Posted Date: 4/12/2013 5:17:23 AM | Location : United States







Related Discussions:- Interpretation of the second derivative, Assignment Help, Ask Question on Interpretation of the second derivative, Get Answer, Expert's Help, Interpretation of the second derivative Discussions

Write discussion on Interpretation of the second derivative
Your posts are moderated
Related Questions
Example  Find the values of the given expressions. Also given that a = 2, b = 3, c = 1, and x = 2. 8a + 5bc          =       8.2

Index Shift - Sequences and Series The main idea behind index shifts is to start a series at a dissimilar value for whatever the reason (and yes, there are legitimate reasons

Important formulas d (a b )/ dx  = 0                              This is a constant d ( x n ) / dx = nx n -1                      Power Rule d (a x ) / dx = a x l


Nine minus five times a number, x, is no less than 39. Which of the subsequent expressions represents all the possible values of the number? Translate the sentence, "Nine minus

calculation of emi %

HOW MANY TENS ONES AND HUNDRED ARE IN A GROUP OF 2

Mean, variance, skewness and kurtosis of a probability density function f(r)that has a distribution of a passive scalar filed in a stationary isotropic turbulence for initial condi

How will you find the vertex of a parabola given in 2nd degree form (the axis of parabola is not parallel to coordinate axes)? Ans) Write the equation in type of standard form.

An advertising project manager developed the network diagram shown below for a new advertising campagign.  In addition, the manager gathered the time information for each activity,