Calculate the derivative of common mathematical functions quickly and accurately. Enter a function in terms of x and get its derivative instantly.
Enter a mathematical function below.
The derivative of a function describes how quickly the function changes as its input changes. The derivative can be defined using the limit of the difference quotient.
In practical calculations, standard differentiation rules are usually used to find derivatives more efficiently.
d/dx (xⁿ) = nxⁿ⁻¹
d/dx sin(x) = cos(x)
d/dx cos(x) = −sin(x)
d/dx eˣ = eˣ
d/dx ln(x) = 1/x
d/dx C = 0
The calculator recognizes common mathematical expressions and applies standard differentiation rules to determine the derivative with respect to x.
Type a mathematical function such as x^2, sin(x), or e^x.
The calculator identifies the expression and applies the appropriate differentiation rules.
Your derivative is displayed immediately in a clear mathematical format.
Here are several common functions and their derivatives.
A derivative measures the instantaneous rate of change of a function. In geometry, it can be interpreted as the slope of the tangent line to a curve at a particular point.
Derivatives are fundamental in calculus and are used in mathematics, physics, engineering, economics, statistics, computer science, and many other fields.