Tangents and normals

The algebraic process for calculating derivatives is known as differentiation. The slope or gradient of a particular graph at any given position is the derivative of a function. The tangent’s value drawn to that curve at any given location is the gradient of that curve. The curve’s gradient varies at different positions along the axis […]

Let’s take a look at the diode, which is the most common two-terminal electronic device. Diodes are two-terminal electrical components that are designed to conduct electricity in just one way. They are small and inexpensive. There are many different types of diodes accessible, including the Light-Emitting Diode (LED), the Laser diode, the Avalanche diode, the

Introduction Derivatives play a significant role in mathematics. They refer to the rate of change of functions concerning variables. There is a particular branch of application of derivatives that is concerned with finding the tangents and normals to a given curve.  This branch is of great significance. It helps to find the minima and maxima

The term “tangent” means “to touch”. The Latin word for the same is “tangere”. In general, we can say that the line that intersects the circle exactly at one point on its circumference and never enters the circle’s interior is a tangent. A circle can have many tangents. They are perpendicular to the radius. Derivatives

The word tangent means “To touch”. “Tangere” is the Latin term for the same thing. In general, a tangent is a line that meets the circle precisely at one point on its circumference but never enters the circle’s interior. Many tangents can exist in a circle. They run parallel to the radius. In mathematics, derivatives

The geometrical meaning of a derivative is the instantaneous rate of change of the function with respect to one of its variables in calculus. The derivative of a function is well characterised by the first principle of derivative. The slope of tangent to the graph at a location is defined by the first derivative of

In Calculus, a derivative is the instantaneous rate of change of a function with respect to one of its variables, and in geometry, a derivative is the geometric meaning of a derivative. The derivative of a function is well defined according to the first derivative principle. This is defined as the slope of the graph

In this diagram, dots represent different values of the variables. Scattered plots, which depict the values of variables in a data set by displaying their positions on the vertical and horizontal axes, are characterised by the use of Cartesian coordinates to indicate their positions on the vertical and horizontal axes, respectively. In addition to scatter

One way to obtain an expression’s derivative or differentiation in calculus is to take the ratio or division of two differentiable functions and divide it by the expression. By this, I mean that while trying to get the derivative of f(x)/g(x), we can use the rule of quotients, because both of these functions are differentiable

It is possible to find the derivative or differentiation of an arbitrary function given as a ratio or division of two differentiable functions using the quotient rule in calculus, as shown in the example below. That is, when we need to compute the derivative of a function of the form: f(x)/g(x), we can use the