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# Third Derivative Calculator

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## Introduction to Third Derivative Calculator

Third order derivative calculator is an online tool to calculate derivatives of a function up to third order. This calculator helps you find the third derivative of any function quickly and accurately.

Derivatives are an essential part of calculus and differentiation. It is used to calculate the rate of change of any function for the variable involved.

While computing the derivative of a function up to third-order manually is a long-term procedure. That’s why we introduce a tool that can calculate derivatives of a function from first order to third order in a few seconds!!

## What is the third order derivative calculator

The third derivative calculator with steps is a differentiation tool capable of computing derivatives of a function up to third-order step by step. It follows all of the rules of differentiation.

There are several functions in mathematics, i.e., constant, polynomial, exponential, logarithmic, trigonometric, etc. This derivative calculator makes differentiation of all these functions easy by simply solving them.

## How to find the third derivative calculator

There are simple steps to using the triple derivative calculator . So that a user can easily use it, these steps are:

1. Write the function in the “Enter Function” box. You need to write the function. Once the function is entered, it will appear below the “with respect to” tab.
2. In the second step, select the variable from the drop-down list of the “With respect to” box.
3. Now, click on the calculate button.

After clicking the calculate button, the website will start showing different tabs like derivative, possible intermediate steps, and plots.

## Third Derivative Formula

The Third Derivative Calculator uses the differentiation formula to compute derivatives of a given function up to order three.

Since the term derivative refers to the rate of change of a function, in other words, it calculates the difference in ‘y’ with respect to the ‘x’ variable. Let ? = ?(?) be a function. The third order derivative calculator applies the differentiation formula three times on the given function. Let’s see how it uses the formula on ? = ?(?).

Step I

Applying derivative with respect to “x” on ? = ?(?).

$$\frac{d}{dx}\Biggr[f(x)\Biggr]$$

It can be written in simplified form as,

$$\frac{dy}{dx} \;=\; f'(x)$$

Which is the first derivative of ? = ?(?).

Step II

Again applying the derivative with respect to ‘x’.

$$\frac{d}{dx}(\frac{dy}{dx}) \;=\; \frac{d}{dx}f'(x)$$

In simplified form,

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

Which is second derivative of the function ? = ?(?).

Step III:

Applying derivative with respect to ‘x’

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

It becomes,

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

That is the third derivative. The derivative is used to find a line or a curve slope. This calculator can calculate it quickly and simply with a third derivative formula.

## Why to use Derivative Calculator?

In calculus and differential geometry, there is a need to compute derivatives of different functions such as rational, irrational, polynomial, exponential, trigonometric, inverse trigonometric, logarithmic, hyperbolic, and inverse hyperbolic functions, etc.

Sometimes you have to calculate derivatives of a function up to the third order. But manually, it is a lengthy and complex process. That’s why you need to use this calculator.

Find the third derivative calculator is made to compute the first, second, and third derivatives of a given function. It evaluates derivations quickly in easy steps. That is very helpful for students to understand the concept and its derivations.

## Benefits of using 3rd Derivative Calculator

As derivative is an essential concept in mathematics, the triple derivative calculator with steps follows all differentiation rules. There are some benefits of using this calculator.

1. The most important benefit of this derivative calculator is that it is easy to use. You have to enter a function.
2. The calculator gives you results within a few seconds.
3. It provides three derivatives of a given function step by step. Also, it plots a graph to that function. It also shows real and imaginary parts of the solution.
4. This calculator can perform derivation up to third order on any function such as exponential, trigonometric, logarithmic, square root, rational or irrational, etc.
5. This tool simplifies all steps so that users can understand it easily.
6. It is a powerful free calculator with many features.
7. You can also get a better visual and understanding of a function with graphs.
8. Find the third derivative calculator that follows all differentiation rules such as chain rule, quotient rule, product rule, power rule, etc.
9. This calculator is also available on the play store for android. So, you can also use it on your android device to access it easily.
10. 3rd derivative calculator is a reliable tool, and you can fully trust its results.
11. The third derivative calculator with steps is a free online tool, and you do not need any subscription plan to access it.

### Shaun Murphy

Last Updated March 28, 2022

A professional content writer who likes to write on science, technology and education.