Use this free differentiation calculator to instantly find the derivative of any algebraic expression or function. Enter the expression (e.g., x^2, sin(x), e^x) and hit “Calculate” to see the result. This tool is useful for math students, teachers, and anyone learning calculus.
Common Derivatives:
- d/dx [x^n] = n * x^(n – 1)
- d/dx [sin(x)] = cos(x)
- d/dx [e^x] = e^x
What is Differentiation?
Differentiation is a fundamental concept in calculus that deals with finding the rate of change or the slope of a function. It tells you how a function changes as its input changes. For example, the derivative of f(x) = x^2 is f'(x) = 2x.
Differentiation Formula
If f(x) is a function, then the derivative f'(x) is given by:
f'(x) = lim(h→0) [f(x + h) - f(x)] / h