Derivative Calculator

This simple and convenient derivative calculator will help you solve any problem, just enter the value of the function and you will immediately get a solution with a detailed step-by-step description. The easy-to-use calculator interface allows you to quickly calculate any functions. Try this handy derivative calc right now!

How to use the Derivative Calculator

  1. Type in a function to solve

    To get started, type in a value of the function and click submit button. In a moment you will receive the calculation result.
  2. See a step-by-step solution

    After receiving the result, you can see a detailed step-by-step description of the solution. This will help you understand the solution of the problem.
  3. Save the results of your calculation

    After finishing, you can copy the calculation result to the clipboard, or enter a new problem to solve.

What is Derivatives?

In math, a derivative is a way to show the rate of change or the amount that a function is changing at any given point. If you have a function f(x), there are several ways to mark the derivative of f when it comes to x. The common way that this is done is by df / dx and f'(x). If a derivative is taken n times, then the notation dnf / dxn or fn(x) is used. This term would also be considered a higher-order derivative. For second-order derivatives, it's common to use the notation f"(x). For any point where x = a, the derivative of this is f'(a) = lim(h→0) f(a+h) - f(h) / h. The limit for this derivative may not exist. If there is a limit, then f (x) will be differentiable at x = a. The function of f'(a) will be the slope of the tangent line at x=a.

To provide another example, if f(x) = x3 , then f'(x) = lim(h→0) (h+x)3 - x3 / h = 3x2 and then we can compute f''(x) : f''(x) = lim(h→0) 3(x+h)2 - 3x2 / h = 6x . When it comes to using derivatives, they serve as powerful tool with multiple uses. For example, they can be used to find inflection points, describe the motion of objects, and solve optimization problems.

About DerivativeCalc

Derivative Calculator
The derivative calculator allows you to solve any mathematical functions. A simple and easy-to-use interface will be available for you to make the most accurate calculation and study a detailed step-by-step solution of the problem. This derivative calculator is free and can be used from any device.
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