Theorem :- A function f is differentiable at x=a if and only if there exists a number l .
such that ;
Where n denotes a quantity which tends to 0 as h–>0 .
This theorem is known as Differentiability Theorem .
To see the proof of this theorem please click on the given Image or Link .
This is my another blog post released from my Online Classroom of Mathematics . In this blog post here is a discussion about Polar Co-ordinates an its Unrestricted Verities . Here is also a short Introduction about Transformation of Co-ordinates and Polar Equation of Curves .
To see this Blog Post in detail please Click on the Given Image or Link .
Principles in the formation of the Equation of Motion of a Particle :-
For Motion in Straight Line ;
Let the mass of the body (particle) be m and let the distance of the particle measured from a suitable origin be x at the time t .
Then acceleration is (d/dt)(dx/dt)
therefore by Second Law of Motion
m[(d/dt)(dx/dt)] = Forces in the direction of x increasing
In this post we will discuss about the equation of first order but not first degree .It is usually denoted
dy/dx by p .
Thee are three types of such equations
1) Equations solvable for p .
2)Equation solvable for y .
3)Equation solvable for x .
This is my another blog post released from my Online Classroom of Mathematics . In which we have discussed about the equation of first order but not first degree . which is very important topic in math and very useful in Physics , Engineering and Science also .
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please write your comments if any .
HAPPY CHRISTMAS TO ALL MY FOLLOWERS .
This is my another new blog post released from my Online Classroom of Mathematics in which you will see a short discussion about the equation of tangent and normal .
In this blog post we will discuss in all three type of Cartesian Equation
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please write your comments or questions if any .
This is my another blog post released from my Online Classroom of Mathematics . In this post you will see a short discussion about Maxima and Minima , which is :-
Greatest and Least Value :-
In this section we shall be concerned with the application of Calculus to determining the values of a function which are greatest or least in their immediate neighborhood technically known as Maximum and Minimum Values .
It will be assumed that f (x) possesses continuous derivatives of every order that come in equation .
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Velocity and Acceleration of a Moving Particles :-
This another blog post released from my Online Classroom of Mathematics . In which we will discuss about Velocity and Acceleration .
If a particle is moving along a straight line , and if at any instant t the position P of the particle be given by the distance s measured along the path from a suitable fixed point A on it , then v denoting the velocity and f the acceleration of the particle at the instant .
To see this blog post in detail please click on the given Image or Link .
Please wit your questions and comments if any .