# Video Gallery: Watch Our Most Viral Content

Help yourself with few of our online video lectures on IGCSE, A-levels Mathematics, and Calculus 1 & 2 most frequently visited worldwide

In this video, you will learn how to find equations of orthogonal trajectories of a family of curves. **Orthogonal trajectory **is a family of curves that intersect another family of curves at right angles.

**Ab-Initio** or **First Principle Rule** is based on the concept of instantaneous rate of change, a foundation over which the entire differential calculus is resting. In this video, you will learn how to find the derivative of any function using the first principle rule.

In this lecture, you will learn how Cauchy’s Mean Value Theorem generalizes Lagrange’s Mean Value Theorem. This theorem is also called the Extended or Second Mean Value Theorem. It establishes the relationship between the derivatives of two functions and changes in these functions on a finite interval.

In this video, you’ll learn how to solve past papers’ questions of IGCSE Extended Mathematics 0580; also you will learn;

1) To shade regions inside a Venn Diagram.

2) Complete the Venn diagram

3) Filling cardinality of subsets mentioned in the Venn Diagram

4) Set notations

5) Formation of algebraic equations

6) Algebraic word problems

Understand exhaustively the proof of limit of exponential sequence which is lim (n→∞) (1+ 1/n)^n = e using Binomial Expansion with the help of the following theorem; Theorem: If a function is monotonic increasing (decreasing) and bounded above (below) then it is convergent to its supremum (infimum).

In this video, you’ll learn how to find coordinates of center and angle of rotation for any rotation transformation by looking object and its corresponding image figures.