# nth Derivative Calculator

## More Calculators ##### Derivative Calculator ##### Second Derivative Calculator ##### Third Derivative Calculator ##### nth Derivative Calculator ##### Partial Derivative Calculator ##### Implicit Differentiation Calculator ##### Product Rule Calculator ##### Quotient Rule Calculator ##### Chain Rule Calculator ##### Derivative at a Point Calculator ##### Derivative Graph Calculator ##### Extreme Points Calculator ##### Normal Line Calculator ##### Linear Approximation Calculator ## Introduction to the Higher Order Derivatives Calculator

The nth-order derivative calculator is a freely available online tool for calculating high-order derivatives. The higher order derivative calculator with steps tool is designed to find multiple derivatives of the function.

The higher order derivative calculator is a tool that calculates derivative according to the desire need of the user. It calculates the higher derivatives accurately and fast. The nth-order derivative calculator finds error-free results.

## What is the nth Derivative Calculator?

The higher derivative calculator is an online tool that calculates the derivative of any function nth times. Here nth means any higher-order number i.e. 1,2,3,...

An nth derivative calculator is a tool that takes higher-order derivatives i.e, when the derivative is taken for the first time it is called a 1st-order derivative. When the derivative is taken for the second time it is called 2nd derivative and so on. So, the nth derivative calculator calculates all the successive derivatives of a function.

## Formula for the Higher Order Derivative Calculator

The nth derivative formula calculator is based on the basic rules of differentiation. To find the nth derivative of any function, you have to follow its basic pattern to reach the nth number derivative.

The following formula is used by the higher order derivatives calculator to find the nth derivative of the function.

$$f^n (x) \;=\; \frac{d^n}{dx^n} [f(x)]$$

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

Example: Consider the function xm to differentiate.

Solution: We have a function y = xm

$$f(x) \;=\; x^m$$ $$f^n(x) \;=\; \frac{n!}{α^n} \int_0^1 f(x+αe^{2 \pi iz})e^{2 \pi iz} dz$$ $$f^n(x) \;=\; \frac{n!}{α^n} \int_0^1 f(x+αe^{2 \pi iz})e^{2 \pi inz} dz$$ $$f^n(x) \;=\; \frac{n!}{α^n} \left(_n^m \right) x^{m-n} α^n$$ $$f^n(x) \;=\; \frac{n!}{α^n} \frac{m!}{n!(m-n)!} x^{m-n} α^n$$ $$f^n(x) \;=\; m(m-1)...(m-n+1) x^{m-n}$$

## How does the nth Derivative Formula Solver Work?

The nth-order derivative calculator is based on the rules of differentiation to find the nth derivative of the function.

Here is a function [f(x) = xn] whose first three successive derivatives are taken.

The first three derivatives of this function are:

1. f′(x) = nxn – 1
2. f′′(x) = n (n – 1) xn – 2
3. f′′′(x) = n (n – 1) (n – 2) xn – 3

### Steps for Working on this Calculator:

• Following are the steps that are to be followed by the nth derivative calculator.
• Open the calculator page, and load the function here in the required field.
• Then select the order of derivatives from the drop-down list.
• First of all, Enter all the values in the required input fields. Like variables, and other additional values.
• After entering all the values in the required fields, now select any number in the “TIME” field that asks you how many times you want to differentiate the function.
• Now just click on the “Compute” button. The nth derivative calculator will evaluate the slope of the tangent of the given function.
• Finally, the results of your given differential results are displayed on your screen.
• After evaluating the differential function, refresh the page for new calculations.

## How to find a Higher Derivative Calculator with steps?

The following are the steps to be followed for finding the higher order derivatives calculator:

Step 1: Enter the keywords in the search bar of search engine like Google, Yahoo, Bing or Yandex.

Step 2: You can see some of the top results of your relevant query "nth derivative calculator" or "higher order derivative calculator".

Step 3: Hopefully, we will be in the top results of the SERP, you may recongnize us by https://derivative-calculators.com/.

Here it is, open the tool i.e. higher-order derivative calculator, put the required function and use it for the evaluation of your complex problems.

## Importance of the nth Order Derivative Calculator

In mathematical calculations, using an online tool makes calculations easier. Before these tools, the user has to do manual calculations, which seems to be quite hectic. So, these tools replace that hard exercise with some smart clicks.

Today users want to work smarter instead of harder. So, this nth derivative formula calculator is specially designed to evaluate complex functions.

Following is the list of some perks while using this nth-order derivative calculator:

• The nth-order derivative calculator provides much ease to its users by giving them one-click calculations.
• The user interface of the high derivative calculator tool is very friendly.
• This higher order derivatives calculator gives you results in a fraction of a second.
• It improves the analytical reasoning features of the user.
• This nth derivative formula calculator has unlimited access the user can practice as many examples as he/she can.
• The nth-order derivative calculator helps to find the derivative of the given function.
• It makes accurate and reliable calculations without any errors.
• This online tool is error-free and doesn’t charge any subscriptions from their users. This calculator has free unlimited access that is the user can do calculations multiple times.
• The higher derivative calculator with steps gives the solution with step-by-step instructions.