## Introduction to the Triple Derivative Calculator

A third-order derivative is an online tool for calculating the derivatives whose **derivatives are of third-order**. The 3rd derivative calculator gives accurate solutions to the problems.

The **triple derivative calculator** is free of cost without any subscription charges before and after its use. This calculator saves precious time for the user by giving them quick and accurate results.

## What is the Third derivative calculator

Derivatives are the rate of change of the condition according to its respective functions. The triple derivative calculator is also called a higher derivative calculator.

This triple derivative calculator with steps calculates the third-order derivatives with step-by-step guidance to the user. It helps to **differentiate thrice** all other complex functions of mathematics.

## Formula Used by Third order Derivative Calculator

The triple derivative calculator is based on the method of differentiation. The third derivative formula says that it is the rate of change at which the second-order derivative changes.

The formula used to analyze this type of rate of change is as follow:

$$ \frac{d}{dx} \left( \frac{d^2y}{dx^2} \right) \;=\; \frac{d^3y}{dx^3} \;=\; f'''(x) $$

Let's see how to use this formula for the calculation of third derivative of a function.

**Example:** Find the third derivative for the function cos(2x), with respect to "x".

**Solution:** Let's take a **y = cos(2x)**

$$ y \;=\; cos(2x) $$

Differentiate the function w.r.t "x"

$$ \frac{dy}{dx} \;=\; -sin(2x) \frac{d}{dx}(2x) \;=\; -2sin(x) $$

Again differentiate w.r.t "x" to get the second order derivative

$$ \frac{d^2y}{dx^2} \;=\; -2.cos(2x) \frac{d}{dx}(2x) \;=\; -4cos(2x) $$

**Note:** You can also find the second derivative using our 2nd order differentiation calculator

For **finding the 3rd order derivative**, again differentiate it w.r.t "x"

$$ \frac{d^3y}{dx^3} \;=\; -4 (-sin(2x)) \frac{d}{dx}(2x) \;=\; 8 cos(2x) \cdot 2 $$ $$ \frac{d^3y}{dx^3} \;=\; 16cos(2x) $$

## How does 3rd Derivative Calculator Work?

The third derivative calculator with steps works on the process of differentiation. This higher derivative calculator follows the basic rules of differentiation to **calculate the third-order derivative** for that particular function.

The user interface of the higher derivative calculator is very easy and simple. By following the simple given steps one can get the solution of the given function.

The higher derivative calculator usually follows the following steps to calculate the third-order derivative of the given function:

- Open the calculator from our web portal.
- Put the function in the required input field.
- Or you can load the example from the drop-down list.
- Select the variable w.r.t to which you want to differentiate.
- Now click on the "CALCULATE" button to
**get the third-order derivative**.

Finally, the rate of change of the second derivative will display on the screen. Not it only contain the double derivative, but also it has possible intermediate steps, plots and trigonometric form of given function.

So click on re-calculate button for the solution of another problem.

## How to Find the Third Derivative Calculator with steps?

It is quite easy task to find an **online triple derivative calculator**. You can search them by different approaches

- Enter the exact URL of the calculator i.e. https://derivative-calculators.com/third-derivative-calculator.
- Type the keywords as "third derivative calculator","3rd derivative calculator" or "find the triple derivative". Hopefully we will available in top results of search engine.

## Benefits Using Third order Derivative Calculator

A 3rd derivative calculator is an online tool that is very essential in mathematics. It is an important tool that is also used in physics as well as in mathematics. This higher derivative calculator calculates the derivatives using differentiation techniques.

- The third derivative calculator with steps gives the solution with step-by-step instructions.
- The results of the triple derivative calculator are authentic and reliable.
- This calculator gives you results in fractions of seconds and save your time from manual calculations.
- The
**third order derivative calculator**gives three derivatives and gives answers with step-by-step instructions. - This 3rd derivative calculator is a freely available tool without any subscription.
- By typing the simple keyword from your keyboard one can get this tool on his/her device(hopefully in few of top results).

Hope so you may like our efforts made on this tool. Also try our other derivative relevant tools for reliable learning.