# Third Derivative Calculator

## Introduction to Third Derivative Calculator

Third derivative calculator with steps helps you by giving results directly for the third derivative of a function without any manual calculation for the previous derivatives. This triple derivative calculator aims to assist the mathematicians and students in calculating the third derivative easily.

As we know, the basic concept of calculus is the application of derivatives of a function. The derivatives help to find out the amount of change in a particular function at any given point.

The third derivative refers to applying the derivative on the second derivative of a function. The second derivative also comes after the application of the derivative on the first derivative of a function. And that why due to difficulty in calculating such terms, we have introduced the third derivative calculator which can easily give you the solution with steps.

And to find the first or second derivative of a function you can use our differential calculator and higher derivative calculator for free to find your solution easily.

## What is a Third Derivative Calculator

The third order calculator is an online tool that provides detailed results for finding the third derivative of any function. The best thing about this calculator is that it computes the results rapidly. It not only provides the results of the calculation but also the possible intermediate steps for the understanding of the concept.

Moreover, the third derivative calculator with steps provides the graphical representation of the function and its result after the computation of the third derivative.

Some extra details you will get are alternate form, roots, indefinite integrals, global maxima and minima, definite integral, and Definite integral mean square along with their possible intermediate steps. This tool has the ability to handle rational, irrational, polynomial, exponential, trigonometric, inverse trigonometric, logarithmic, hyperbolic, and inverse hyperbolic functions.

Related: Also find linear approximation formula calculator to accurately find the derivative of a curve or slope function.

## How to use Third Derivative Calculator

To make things quite easier, all you need to do is to enter the function and follow the following steps:

Step 1: Enter the function inside the “Enter function” box.

Steo 2: The second step which needs to be fulfilled for finding the third derivative is to enter the variable of a function inside the “with respect to” box.

Step 3: The final step for computing the third derivative in the third derivative calculator is to click on the “calculate” button.

When the user clicks the “calculate” button, the third derivative calculator sends the given function to the server. The function gets the analysis in that server and quickly displays the results for the third derivative of the given function in seconds.

When giving the solution the third order calculator will follow the main differentiation rules like quotient rule, product rule, chain rule, etc. to compute authentic mathematical functions. The results are also displayed with the help of interactive function graphs.

Related: To calculate implicit differentiation and direction differentiation, you can use our implicit calculator and directional differentiation calculator.

## Formula used in Third Order Derivative Calculator

The derivative formula used in this third derivative calculator for the three times is given below. Consider we have a function f(x). The third derivative of that function y = f(x) may be denoted as:

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

In simple

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

Or in more general,

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

Some popular rules need to be understood for the derivative formula which is used in different aspects and levels to get results. The third derivative calculator with steps understands these rules while computing results including chain rule, constant rule, quotient rule, power rule, etc.

## How to calculate the third derivative of sinx?

$$f(x)\;=\;sin(x)$$

The derivative of sin(x) when calculated relating to x is cos(x).

$$f'(x)\;=\;cos(x)$$

The derivative of cos(x) when calculated relating to x is −sin(x).

$$f''(x)\;=\;−sin(x)$$

Find the third derivative

$$f'''(x)\;=\;−cos(x)$$

The third derivative of f(x) with respect to x is:

$$−cos(x)$$

## How to find the third derivative of a function on a calculator?

There are two ways to find the third derivative of a function on a calculator. The manual way which is lengthy can confusing. And the online way in which simply you have to put the function inside this online derivative calculator, then set the variable inside the box. In the final step, click on the “calculate” button to get the results.

If as a user, you have any queries, problem to find the third Derivative Calculator or relevant ideas for the improvements, you can write an email to us without any hesitation. In the time being you can also check our other tools, such as chain rule derivative calculator or second partial derivative calculator as this derivative calculator website provide complete solution for finding every kind of derivatives.

### Alan Walker

Last Updated July 15, 2022

I am Mathematician, Tech geek and a content writer. I love solving patterns of different math queries and write in a way that anyone can understand. Math and Technology has done its part and now its the time for us to get benefits from it.