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How to Find Directional Derivative & Third Derivative Using Online Tools?

Third Derivative & Directional Derivative

Directional Derivative

The directional derivative is the rate at which the functions will change at a point in the direction. It will allow us to help in finding the instantaneous rate of functional change in any of the directions at a point in a given direction.

The directional gradient is used in the formula for calculating the directional derivatives. The gradient is also referred to as the direction of the greatest change of a function of more than one variable.

The calculation process for the directional derivative can be explained in this article. The online tool which helps in calculating the directional derivative step by step can also be elaborated with simple and easy instructions. 

What is a Directional derivative?

Mathematically the directional derivative is referred to as the multivariable or differentiable function along a given vector at a given point and intuitively the directional derivative represents the instantaneous rate of change of function at a given direction.

The directional derivatives are explained as the rate of change of function that changes at a point in the given direction.

In the example of multivariable differentiable function the directional derivative is a given vector “ v” at a given point suppose “ x” intuitively that represents the instantaneous rate of change of the function. The directional derivative will move through the point ‘ x’ with the velocity which also can be specified by “ v”. 

How can the Directional Derivative be Calculated?

The online website of derivative calculators gives more than 15+ calculators. It helps in calculating the directional derivative and many other forms of derivatives. The online calculator which helps in calculating and finding the directional derivative is named as the derivative of vector calculator.

The directional derivative calculator is the online tool that provides you free assistance to operate the directional derivative calculator. It also guides you in the best form of easy-to-understand instructions.

The Directional Derivative Calculator

The directional derivative calculator is a web-wide online tool that can help in solving a function at a particular point of a vector that can be calculated by using the online multivariable derivatives.

This directional derivative calculator is free of cost and gives you the simplest step to calculate the directional derivative. The directional derivative calculator has a broad search bar which can easily help in typing and selecting the function.

Some of the basic steps that help in finding the directional differentiation are as follows:

  1. The directional derivative calculator has some of the steps which require the input values in the direction of the vector calculator. These steps of operating the directional derivative can be described as follows
  2. First of all, to calculate the directional derivative, select the function for which the derivative is required. 
  3. Secondly, select the function such as f (x, y ) or the function of f ( x, y, z). 
  4. Then enter the value of the U1 and the U2 on the calculator.
  5. The next step is to type the values for the x and y into coordinates. 
  6. Now click on the “ Calculate” button to get the output from the multivariable derivative calculator. 

The directional derivative calculator will help in calculating the function of the derivatives in the direction of the two vectors. Therefore the directional derivative calculator is also known as the vector derivative calculator. The gradient will also be calculated by taking the derivatives for every variable and variables function that are inputted in the direction vector calculator.

Third Derivative

In mathematics, the third derivative is known as the rate at which the acceleration is increased, technically it is named as Jerk. Jerk is a vector quantity. It is sometimes also used as a scalar quantity because there is no separate term that is the standard name for the magnitude of the jerk. The third derivative will allow us to help in finding how fast is the acceleration of any object is changing. 

The calculation process for the third derivative can be explained in this article. The online tool which helps in calculating the third derivative step by step can also be elaborated with simple and easy instructions. 

How can the Third Derivative be Calculated?

The online website of derivative calculators gives numerous free tools which help in calculating the third derivative and many other forms of derivatives. The online calculator which helps in calculating and finding the directional derivative is named as a third derivative calculator. This is the online tool that operates the instantaneous rate of change in acceleration. It also guides you in the best form of easy-to-understand instructions.

The Third Derivative Calculator

It is a web-wide online tool that can help in solving the instantaneous rate of change of acceleration. In general, it calculates rapidly three times the derivative of the same function.

The third derivative calculator is free of cost and gives you the simplest step to calculate the third derivative. This tool has a great feature to handle any type of functions like rational, irrational, complex, trigonometric, logarithmic, hyperbolic, exponential or inverse trigonometric etc.

Some of the basic steps that help in finding the directional differentiation are as follows:

  1. First of all, to calculate the third derivative, select the function for which the derivative is required. 
  2. Secondly, select the dependent variable with respect to which we need to calculate the third derivative of the function. 
  3. Now click on the “ Calculate” button to get the output from the multi-derivative calculator.

Related: As we are discussing all about the concepts of the calculus. So, you may also like to read Concepts of integration & differentiation.

Conclusion

There is a complete study of the directional differentiation as well as the third derivatives in mathematics. Both of these can be calculated by the online tools and the most important and authentic tools that are used for them are named the “Directional Derivative Calculator” & “Third Derivative Calculator”.

The directional derivative calculator helps in calculating the vectors differentiation and the third derivative helps in calculating the jerk. The whole procedure is also free of cost. Moreover these advanced online tools also provides us detailed solutions.

James Johnson

About Author

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 it’s the time for us to get benefits from it.

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