Derivative of Arctan: Before going to see what is the derivative of arctan, let us see some facts about arctan. Arctan (or) tan-1 is the inverse function of the tangent function. i.e., If y = tan-1x then tan y = x. Also, we know that if f and f-1 are inverse functions of each other then f(f-1(x)) … Read more

Functions in mathematics can be compared to the operations of a vending (soda) machine. When you put in a certain amount of money, you can choose different types of sodas. Similarly, for functions, we input different numbers and we see new numbers as the result. Domain and range are the principal aspects of functions. You … Read more

How to Find the Radius of a Circle? Formula & Example How to find the radius of a circle? A circle’s radius is one of its most important components. It is the distance between the center of a circle and any point on its boundary. In other words, when we connect the center of a … Read more

Before going to determine the derivative of sec x, let us recall a few things. sec x is the reciprocal of cos x and tan x is the ratio of sin x and cos x. These definitions of sec x and tan x are very necessary to do the differentiation of sec x with respect … Read more

How to find arc length? A part of a curve or a part of a circumference of a circle is named Arc. All of them have a curve in their pattern. The curved portion of these things is mathematically called an arc. Arc length is better defined as the distance along the part of the … Read more

The multiplication chart is a list of multiples of a number. By multiplying the given number by whole numbers, we can obtain the multiplication table. Students are taught multiplication at an early age as one of the main mathematical operations. Multiplication table charts are a simple way to introduce students to the concept of multiplication. For … Read more

In math, a reference angle is usually an acute angle enclosed between the terminal arm and the x-axis. It is constantly positive and less than or equal to 90 degrees. Let us read more about the reference angle in this article. Reference Angle Definition The reference angle is the minutest possible angle made by the terminal side … Read more

When looking at the numerator and denominator degrees of a rational function, one can find its horizontal asymptotes. Explanation: The horizontal asymptote at y = 0 occurs if the degree of the numerator is less than that of the denominator. There is no horizontal asymptote if the degree of the numerator is greater than the … Read more

From the name itself, a unit circle is a circle with a unit radius. Circles are closed geometric figures without sides or angles. A unit circle has all of the properties of a circle, and its equation is also derived from the equation of a circle. Furthermore, a unit circle is useful for determining the … Read more

The negative exponent Rule tells us that the power of a number is negative and it applies to its reciprocal. When a number is multiplied by itself, it is called an exponent. For example, 32 = 3 × 3. When we have positive exponents, it is easy to multiply the number (base) by itself, but what … Read more