Table of Contents
Derivations of the Quadratic Formula
The Quadratic Formula is a mathematical equation that is used to solve quadratic equations. The Quadratic Formula is written as:
The Quadratic Formula can be derived from the Quadratic Equation, which is written as:
The Quadratic Equation can be solved using the Quadratic Formula. The Quadratic Formula is derived from the Quadratic Equation by factoring the Quadratic Equation. The Quadratic Formula is:
The Quadratic Formula can also be derived from the Quadratic Formula by completing the square. The Quadratic Formula is:
Equation of Tangent
The equation of tangent line is a line that touches a curve at a point and is perpendicular to the radius vector drawn to that point.
Equation of Normal
A normal is a line that is perpendicular to a plane. The equation of a normal is a vector equation. The equation of a normal is written as n = (x, y, z)T. The equation of a normal is also written as n = (A, B, C)T.
Important Formulas of Tangent and Normal
The following formulas are used to calculate the tangent and normal of a curve at a given point:
Tangent:
Normal:
