Free Online
Derivative Calculator
Solve derivatives and partial derivatives in seconds. The most beautiful and accurate calculator on the web.
Calculate Derivative
Enter your function using the keypad or keyboard.
Result will appear here
Why Students Love Us
We combine powerful mathematical engines with a design that makes calculus less intimidating.
Instant Solutions
Get derivatives instantly. No waiting, no loading screens.
Symbolic Accuracy
Powered by advanced symbolic differentiation algorithms.
Accessible Anywhere
Fully responsive design works perfectly on mobile and tablet.
What is a Derivative Calculator?
A derivative calculator is a tool that computes the derivative of a function with respect to a variable. In calculus, the derivative represents the instantaneous rate of change of a function, or the slope of the tangent line to the function's graph at any point.
Our tool uses symbolic differentiation to find the exact analytical derivative of functions, handling everything from simple polynomials to complex trigonometric and exponential expressions.
Common Differentiation Rules
| Rule Name | Formula |
|---|---|
| Power Rule | d/dx (x^n) = n·x^(n-1) |
| Product Rule | d/dx (uv) = u'v + uv' |
| Quotient Rule | d/dx (u/v) = (u'v - uv') / v^2 |
| Chain Rule | d/dx f(g(x)) = f'(g(x)) · g'(x) |
| Exponential | d/dx (e^x) = e^x |
How to Use
- 1Enter the function (e.g.,
x^2 + sin(x)) using the keypad. - 2Select the variable of differentiation (default is
x). - 3Click "Calculate Solution" to see the derivative.
Key Features
- Symbolic Differentiation
- Step-by-Step Logic (Beta)
- LaTeX Math Rendering
- Scientific Keypad Support
Frequently Asked Questions
Is this derivative calculator free?
Yes, our derivative calculator is 100% free to use for students, teachers, and professionals.
Can it solve partial derivatives?
Yes, simply enter a function with multiple variables (e.g., x and y) and select the variable you wish to differentiate with respect to.
Does it support trigonometric functions?
Yes, we support all standard trigonometric functions including sin, cos, tan, csc, sec, cot, and their inverse functions.
How accurate is the calculator?
Our calculator uses advanced symbolic math libraries to ensure high precision and analytical accuracy.