rational and irrational numbers

Chain rule is defined as: The composition of function and is the function whose value are found for each in the domain of for which is in the domain of is read as ( of of ) Theorem if is differentiable at point and is differentiable at point then composition function is differentiable at point […]

Conic sections or simply conics are the curves obtained by cutting a (double) right circular cone by a plane. Let be a line through the center of a given circle and perpendicular to its plane. Let be a fixed point on . All lines through and points on the circle generate a right circular cone.

Product Rule of Derivatives:If and are differentiable at , then is also differentiable at and . . . Subtracting . . Subtracting and Adding . . . . Taking. . . . Example 1 {Product rule of derivatives} Let and Now we use product Rule Example 2 [Product rule of derivatives] Let and Now we

Lagrange Theorem Statement: Both the order and Index of a subgroup of a finite group divide the order of a group. Lagrange Theorem Proof: Let be a subgroup of order of a finite group of order and let be the index of in . since is finite , the set {} all of distinct left

Quadratic Formula Derivation: Again there are some quadratic polynomials that are not factorable at all using integral coefficients. In such a case we can always find the solution of a quadratic equation by the quadratic formula. by applying a formula known as the quadratic formula. This formula is applicable for every quadratic equation. Derivation of

Quadratic Equation definition: A quadratic equation in is an equation that can be written in the form of are real numbers and .Another name for a quadratic equation in is 2nd Degree Polynomial in . Quadratic Equation Examples: The following equations are the quadratic equations: Solution of Quadratic Equations: There are three basic techniques for

For reasoning we have to use propositions. A declarative statement which may be trueor false but not both is called a proposition. According to Aristotle there could be only twopossibilities – a proposition could be either true or false and there could not be any thirdpossibility. This is correct so far as mathematics and other

Field definition math: A set S is called a field if the operations of addition ‘+ ’ and multiplication ‘. ’ on S satisfythe following properties are written in tabular form: Addition Closure for any set Commutativityfor any Associativityfor any Existence of Identityfor any such that Existence of Inversesfor any such that Distributivity for any

A collection of well-defined and distinct objects is called a set in mathematics. Well-defined collection means we can whether the object belongs collection or not and distinct means no two of which are the same. We are familiar with the set since the word is frequently used in everyday speech for instance water set, tea