Derivative Calculator
Find Derivative Online - Fast, Free and Accurate
This online derivative calculator allows you to easily and quickly find the derivative of any expression. Simply enter the function - the calculator will instantly find its derivative and display the result in a convenient format.
What is a derivative?
A derivative shows how fast a function's value changes. In school mathematics, it's the foundation for analyzing graphs, finding maxima/minima, velocity in physics, tangent slopes, etc.
Who will find this online derivative calculator useful?
- Students for checking algebra, calculus and exam problems.
- Teachers - for creating examples and checking answers.
- Anyone who wants to find function derivative online quickly and error-free.
What does the derivative function calculator support?
You can enter:
- Polynomials: x^2, x^3 + 2*x
- Trigonometric functions: sin(x), cos(x), tan(x)
- Logarithms: ln(x), log(x + 1)
- Exponentials: e^x, exp(x)
- Complex expressions: x * sin(x), ln(x^2 + 1), sqrt(x), abs(x)
- Fractions: (x^2 + 1)/(x - 1)
Example: how to find function derivative online?
For example, for expression f(x) = x^2 + 3*x + 2 the calculator will show derivative: 2*x + 3.
Try also: sin(x^2), ln(x + 1), e^(x^2).
No need to install programs - just enter the formula and get the result. This is convenient if you're looking for:
- "find function derivative online"
- "derivative calculator"
- "expression derivative calculator"
Frequently Asked Questions
What is a function derivative?
A function derivative is a new function that shows the rate of change of the original function. It's used for finding extrema, graph analysis, and studying function behavior.
What functions does the calculator support?
Supported: polynomials, logarithmic, trigonometric, exponential functions, and combinations: sin(x), ln(x), x^2, e^x, x*sin(x), sqrt(x), abs(x), fractions, products, etc.
What expression format is supported?
You can use:
^- exponentiation: x^2sin(x),cos(x),tan(x)ln(x)- natural logarithm (automatically converts to log(x))e^xorexp(x)abs(x)- absolute valuesqrt(x)- square root- Fractions:
x / (x + 1)
How is the derivative of |x| handled?
The derivative of absolute value x is sign(x) or x / |x| (except at point x = 0, where undefined). The calculator shows this as abs(x)/x.
How to copy the derivative?
Simply right-click on the derivative result and select 'Copy text'.