Mathematics

There are two types of triple product of vectors (a) Scalar Triple Product :   or (b) Vector Triple Product : In this section, we shall study the scalar triple product only Definition : let = + + , = + + , = + + The scalar triple product of vector , and is […]

Here we will discuss the derivative of hyperbolic functions: Derivative of sin hyperbolic functions: differentiating w.r.t x Now by using the sum and difference rule. This is required derivative of sinhx. Derivative of cos hyperbolic functions: differentiating w.r.t x Now by using the sum and difference rule. This is required derivative of coshx. Derivative of

derivative of inverse hyperbolic functions where where where where where where Derivatives of sin inverse hyperbolic function Let. Differentiating w.r.t x Now by using formula. Now by using eq(1) Derivatives of cos inverse hyperbolic function Let. Differentiating w.r.t x Now by using formula. Now by using eq(1) Derivatives of Tan inverse hyperbolic function Let. Differentiating

Sum and difference rule of derivative Theorem: Let and are differentiable at , Then () and () are also differentiable at and That is also That is Proof You can prove sum and difference derivatives in easy way by using following pattren. Step 1: Let function Step 2: adding and in and component respectively Step

What is Derivative of constant. Here we will prove that derivative of the constant is zero. Method 1 Let c be constant. Now by using ab-initio method. Dividing on both sides. Applying on both sides. Method 2 Now by using formula of differentiation. Now put above values. Hence we have to proved that the derivative

Quadrilateral Definition in Math: A quadrilateral (in geometry) can be defined as a closed,  two-dimensional shape which has four straight sides(edges).   The polygon which has four vertices or corners. Interior angles equal to 360^\circ[\latex] A quadrilateral can be regular or irregular We can find the shape of quadrilaterals in various things around us, for example in a chessboard, a

Introduction Trigonometry is an important branch of mathematics. Trigonometry is a Greek word. The word Trigonometry has been divided into three phases. Tri mean THREE Goni mean ANGLES Metron mean MEASUREMENT It is clear that Trigonometry means Measurement of a triangle. Unit of Measures of Angles. What is Angle. Two rays have the same initial

Inverse Property of Addition is the Sum of a number and its negative is always zero. Here zero is called the additive identity and and are the additive inverses of each other. For Examples Where x is an arbitrary number. We can use furthermore examples Example:1 Inverse Property of Addition If we add a number

Vector Triple Product Definition: Consider    be the three vectors, then the vector triple product of vectors is defined as Important Note: Through given any three vectors the following products are the vector triple products : Employing the well-known properties of the vector product, we get the following theorems. Theorem 1 : It satisfies the

A series of the from is called power series expansion of a function , where are constants and is variable. Mathematics Of Power Series Expansion: In order to explore power series we have to recall that the sum of a geometric series can be expressed using the simple formula: If , and that the series diverges when . At