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

Physics, What is quarter wave plate? Give its theory

What is quarter wave plate? Give its theory

Zeroth law of thermodynamics, Zeroth law of thermodynamics If two bod...

Zeroth law of thermodynamics If two bodies are each in thermal equilibrium along a third body, then all of the three bodies are in thermal equilibrium along with each other.

Define the principle and working of an a.c. generator., Define, with the he...

Define, with the help of diagram, the principle and working of an a.c. Generator. Write the expression for the e.m.f. generated in the coil in terms of its speed of rotation

What are the wave fronts, Q. What are the wave fronts? Answer:- (Ph...

Q. What are the wave fronts? Answer:- (Physics) A wave front is an fantasy surface joining all points in space that are reached at the same instant by a wave propagating th

Physics, What is Fresnel explanation of optical activity

What is Fresnel explanation of optical activity

What is the cross-sectional area of a wire, Some wire of cross-sectional ar...

Some wire of cross-sectional area 1mm 2 has a resistance of 20 ?. Determine (a) the resistance of a wire of the same length and material if the cross-sectional area is 4mm 2 ,

Explain briefly thermodynamic system , Normal 0 false false ...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

find the stationary wave function, 1. Solve the TISE in each region to fin...

1. Solve the TISE in each region to find the stationary wave function, and show that it can be written as ?(x) = Ae ikx +(k-1)/(k+1)Ae ikx x =2k/(k+1)Ae ilx x>0 where

Disadvantage of low power factor, Disadvantage of low Power Factor  We ...

Disadvantage of low Power Factor  We know that   P = V I cos φ,  for particular amount of power at constant voltage, Power (P) and voltage (V) in the above expression of

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