Concept of derivative of the function, Physics

Assignment Help:

KINEMATICS II

1. The concept of the derivative of the function is exceptionally important. The derivative shows that how fast the function changes when its argument is changed. (Remember that for f ( x) we say that is a function that depends upon the argument x. You should think of as a machine which gives you the value when you input x.)

 

2.  Functions do not always have to be written as f ( x). us where a body is at different times t.

 

3. The derivative of x(t ) at time t can be defined as:

1433_derivative of x.png

2417_derivative of x1.png

4. Now let's see how to calculate the derivative of a simple function such as  x(t ) = t 2 . We should first calculate the difference in x at two slightly different values say, t and t + Δt, while that recall we choose Δt to be extremely small:

606_derivative of x2.png

5. In exactly the same manner you can show that if x(t ) = t n  then:

1879_derivative of x3.png

This is an exceptionally useful result.


Related Discussions:- Concept of derivative of the function

Light, what arethe concepts oflight

what arethe concepts oflight

Force constants, what is the force constants of Gd2MoO6?

what is the force constants of Gd2MoO6?

Homework help, Describe an actual situation that would give rise to the fre...

Describe an actual situation that would give rise to the free body diagram

Describe pitch and image quality in msct, Question 1. Discuss the gener...

Question 1. Discuss the general guidelines to be followed for whole body CCT 2. Describe pitch and image quality in MSCT 3. List the advantages of SCT in pediatrics. Expl

Beer lambert''s law, what is meant by positive deviation of beer lambert''s...

what is meant by positive deviation of beer lambert''s low?

Explain about the inverse piezoelectric effect, Explain about the inverse p...

Explain about the inverse piezoelectric effect. Inverse piezoelectric effect: While an alternating e.m.f is applied to the opposed faces of a quartz or tourmaline crystal th

What is harness, What is harness? The harness applied in the industry t...

What is harness? The harness applied in the industry to explain a group of fibers or light guides, particularly terminated and with a common end. Usually, each harness should h

Expermient of a tin can charcoal burner, A tin can charcoal burner A la...

A tin can charcoal burner A large tin can at least 10 cm in diameter should be use. About 4 cm from the bottom mark off triangular windows around the can, as shown in the diagr

Modern physics, who made einstein''s theory wrong and how?

who made einstein''s theory wrong and how?

To find velocity of spacecraft and acceleration, find acceleration of space...

find acceleration of spacecraft will changed during journey and velocity and displacement if formula for displacement " s " and velocity V S=ut +1/2 at.... (t to power 2) V= u+at

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