Derivative at a Point Calculator







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Introduction to Derivative at a Point Calculator

A derivative calculator is an online tool to evaluate a function's derivative at a given point. It helps compute the average rate of change of the function at a point by following all derivative rules; product, quotient, and chain.

In calculus, the derivative of a function at a point is used to approximate it on the given point to find the corresponding rate of change. Therefore, it is an important concept of calculus. We introduce a tool online that can help you compute a function's derivative at a point faster than manual.

Related: Try the second derivative calculator to compute two times the derivative of a function.

How to Find Derivative at a Point with a Calculator?

It is very easy to compute derivatives with our tool because it is best in all ways. You need to give it input values, and then it will compute the derivative for you. Follow these steps to use this tool:

  1. Search for calculatores from your browser and select the derivative at a point calculator from the list of available tools.
  2. Now on the tool page, enter the function in "Enter Function."
  3. Or you can use "Load Examples" to select a random function.
  4. Select the order of derivatives from "Compute the."
  5. Enter the point at which you want to find the derivative in "When x=."
  6. Click on the "Calculate" button.

You will get the value of the derivative at a given point within a minute.

Derivative at a Point Formula

When we want to approximate a function on a point, we find the derivative of the function and then substitute the point in it. The resulting solution is called derivative at a point.

Let f be a function and x=a is a value in the domain of f, then the derivative at a point with respect to the point x=a is:

$$ f'(a) \;=\; \frac{f(a+h)-f(a)}{h} $$


f'a = is the derivative at point a.

The above formula is used by the function derivative at a point calculator to compute the derivative of a function with a given point.

Why use Derivative at a Point Online Calculator with Steps?

The Derivative of a function at a given point is referred to as the Derivative at a point. In calculus, this concept helps to find the tangent line's slope to a function's graph at a point. Therefore, it has much significance in mathematics that is useful for solving many problems, such as finding the velocity at a certain point.

While calculating the Derivative of a function at a point by hand, you may get confused with the formula because it is similar to the Derivative. That's why you need to use a tool that can help you find the Derivative at a point without difficulty. If you want to understand how to find the Derivative of a function in a certain direction, directional derivative calculator will help you solve your desired equations with steps.

Benefits of using Second Derivative at a Point Free Calculator

Using an online tool to solve mathematical problems is always more helpful and smart. It is because it can enable you to improve your problem-solving skills in a short time. Similarly, our tool is best to help you in calculating derivatives at a point. There are some other benefits of a Derivative at a point formula calculator. These are:

  • It helps you find derivatives at a point by only taking input values from you.
  • Function derivative at a point calculator helps you to improve your analytical skills so that you can compute derivatives faster.
  • It is a free online tool that demands nothing to use it.
  • You don't need to sign up for an account or subscribe to a plan like premium tools.
  • It computes derivatives quickly and accurately with steps.
Alan Walker

Hamza Haroon

Last Updated April 05, 2022

I am a Content writer & Content Creator. I like writing content on different topics. Besides writing, I am an SEO-ASO-SMM specialist and Football Lover.