## Derivative of Tangent

The derivative of the tangent function (tan(x)) is the secant squared function (sec^2(x)). In mathematical notation, it can be represented as: d/dx(tan(x)) = sec^2(x) This means that if you have a function y = tan(x), the rate at which y changes with respect to x (its derivative) is given by sec^2(x). In simpler terms, when … Read more

## Derivative of Cos

he derivative of the cosine function (cos(x)) is the negative sine function (-sin(x)). In mathematical notation, it can be represented as: d/dx(cos(x)) = -sin(x) This means that if you have a function y = cos(x), the rate at which y changes with respect to x (its derivative) is given by -sin(x). In simpler terms, when … Read more

## Derivative of Sin

The derivative of the sine function (sin(x)) is the cosine function (cos(x)). In mathematical notation, it can be represented as: d/dx(sin(x)) = cos(x) This means that if you have a function y = sin(x), the rate at which y changes with respect to x (its derivative) is given by cos(x). In simpler terms, when you … Read more

## Derivative of Trig Functions

The derivatives of trigonometric functions are as follows: These formulas represent the derivatives of the basic trigonometric functions with respect to x. They are widely used in calculus and mathematical analysis to find rates of change, slopes, and other related quantities in trigonometric equations and problems. Here are examples demonstrating the application of the derivatives … Read more

## Derivative of Tan

The derivative of the tangent function is not sec^2(x). It is actually sec^2(x), which is the square of the secant function. To explain it to a 5-year-old, imagine you are on a seesaw. When you move up and down on the seesaw, your height changes, and the derivative tells you how fast your height is … Read more

## Derivative of Arctan(2x)

I’ll explain the derivative of arctan(2x) in a simpler way. Imagine you have a big playground, and there are two friends, let’s call them x and y. They are playing a game where x moves along the horizontal line, and y moves along the vertical line. They have a special rule: y’s movement is determined … Read more

## Derivative of Arcsin

The derivative of the arcsin function (also denoted as sin^(-1)(x) or asin(x)) can be found using differentiation techniques. Let’s denote y = arcsin(x), where -1 ≤ x ≤ 1. To find the derivative dy/dx, we can differentiate both sides of the equation y = arcsin(x) with respect to x. Using the chain rule, we have: … Read more

## Derivative of Fraction

To find the derivative of a fraction, you can use the quotient rule. The quotient rule states that if you have a function of the form f(x) = g(x) / h(x), where both g(x) and h(x) are functions, then the derivative of f(x) with respect to x is given by: f'(x) = (g'(x) * h(x) … Read more

## Where Does Olivia Rodrigo Live?

You do not have to be young to love Olivia Rodrigo’s music. The 19-year-old Disney star and singer-songwriter’s debut album is one of the biggest pop stars in the world right now. Rodrigo soared into the international spotlight in 2021, thanks to her debut single, Drivers License. So, where does Olivia Rodrigo live? Who is … Read more

## Where does Aphmau Live and How did She Rise to Fame?

Gaming has proven to be by far one of the most profitable things to do online. Having a YouTube channel can also make you a millionaire. Combining gaming and YouTube successfully means you can be a millionaire, and Aphmau has managed to pull it off. Aphmau, as an online gamer, started from a passionate point … Read more