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Ajit Mishra’s Online Classroom: Differentiability Theorem

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Ajit Mishra’s Online Classroom: Differentiability Theorem.

Theorem :-  A function   f    is differentiable  at     x=a     if and only if there exists a number   l    .
such that ;

    f(a+h)-f(a)=lh+hn

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 .

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Ajit Mishra’s Online Classroom: Equations of First Order

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Ajit Mishra’s Online Classroom: Equations of First Order.

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 .
2)Equation solvable for    y  .
3)Equation solvable for    .

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 .

To see this blog post in details please click on the given Image or Link .

please write your comments if any .

HAPPY CHRISTMAS TO ALL MY FOLLOWERS .

Ajit Mishra’s Online Classroom: Simpson’s Rule

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Ajit Mishra’s Online Classroom: Simpson’s Rule.

My this new blog post released from my Online Classroom of Mathematics gives some clear concept about Simpson,s Rule , sometimes called Parabolic Rule .  Simpson’s Rule is very useful to find Approximate Evaluation of Definite Integrals . It should be noted that  the closer the ordinates , the more approximate is the value .

To see this blog post please click on the given Image or Link .

Please write your comments , ideas or questions regarding the post to improve my blog and start a good discussion .

Ajit Mishra’s Online Classroom: Areas of Plane Curves

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Ajit Mishra’s Online Classroom: Areas of Plane Curves.

In this post which is released from my Online Classroom of Mathematics , you will see some little information about “Cartesian Co- ordinates”  an its definition . You will also see some information about “Quadrature” .

In this blog post there is some figure and details about curves and its formulas with equations .

To see this blog post please click on the given Image or given Link . Please it my request that write your comments also which help[s me to improve my my blog .