# area

### Ajit Mishra’s Online Classroom: Differentiability Theorem

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 .**

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

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 ** 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 .

**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

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

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 .