One of the most common ways to find the rate of change of an equation is to take the derivative of the equation. The derivative of a function at a point measures the rate of change of the function at that point. In other words it gives us information about how the function is changing at that specific point.

There are a few different ways to take derivatives but the most common way is to use the power rule. The power rule states that if we have a function of the form f(x) = x^n then the derivative of that function is f'(x) = nx^(n-1). So if we want to find the derivative of the equation y = x^2 we would use the power rule and get that the derivative is y’ = 2x.

The power rule is just one of many rules that we can use to take derivatives but it’s a very important one and it’s one that you should definitely know. There are a few other common rules that you should also be familiar with such as the product rule and the chain rule. These two rules will come in handy when you’re taking derivatives of more complicated functions.

Once you know how to take derivatives finding the rate of change of an equation is simply a matter of taking the derivative of the equation and then plugging in the specific value of x that you’re interested in. For example if we want to find the rate of change of the equation y = x^2 at the point x = 2 we would take the derivative of the equation and get that the derivative is y’ = 2x. Then we would plug in 2 for x and get that the rate of change of the equation at that point is y'(2) = 4.

In conclusion finding the rate of change of an equation is a relatively simple process that can be done by taking the derivative of the equation and then plugging in the specific value of x that you’re interested in.

## How do you find the rate of change of an equation?

The rate of change of an equation is the slope of the line tangent to the graph of the equation at any point.

## How do you find the slope of a line tangent to the graph of an equation at any point?

The slope of a line tangent to the graph of an equation at any point is the derivative of the equation at that point.

## What is the derivative of an equation?

The derivative of an equation is the rate of change of the equation with respect to one of its variables.

## How do you find the rate of change of an equation with respect to one of its variables?

The rate of change of an equation with respect to one of its variables is the derivative of the equation with respect to that variable.

## What is the derivative of an equation with respect to a variable?

The derivative of an equation with respect to a variable is the rate of change of the equation with respect to that variable.

## How do you find the derivative of an equation with respect to a variable?

The derivative of an equation with respect to a variable can be found by taking the derivative of the equation with respect to that variable.

## How do you take the derivative of an equation with respect to a variable?

To take the derivative of an equation with respect to a variable you must first take the derivative of the equation with respect to that variable.

## How do you find the derivative of an equation with respect to a variable?

The derivative of an equation with respect to a variable can be found by taking the derivative of the equation with respect to that variable.

## What is the derivative of an equation with respect to a variable?

The derivative of an equation with respect to a variable is the rate of change of the equation with respect to that variable.

## How do you find the rate of change of an equation with respect to one of its variables?

The rate of change of an equation with respect to one of its variables is the derivative of the equation with respect to that variable.

## How do you take the derivative of an equation with respect to a variable?

To take the derivative of an equation with respect to a variable you must first take the derivative of the equation with respect to that variable.

## What is the derivative of an equation with respect to a variable?

The derivative of an equation with respect to a variable is the rate of change of the equation with respect to that variable.

## How do you take the derivative of an equation with respect to a variable?

To take the derivative of an equation with respect to a variable you must first take the derivative of the equation with respect to that variable.

## How do you find the derivative of an equation with respect to a variable?

The derivative of an equation with respect to a variable can be found by taking the derivative of the equation with respect to that variable.

## How do you find the rate of change of an equation with respect to one of its variables?

The rate of change of an equation with respect to one of its variables is the derivative of the equation with respect to that variable.