Our Differentiation Calculator makes finding derivatives simple and fast. Input your function and variable to instantly get its derivative. This essential calculus tool helps students and professionals understand rates of change, slopes of tangent lines, and optimization problems with ease. Get precise results for single and multi-variable functions quickly.
Formula:
Differentiation is the process of finding the derivative of a function. The derivative of a function f(x) with respect to x, often denoted as f'(x) or dy⁄dx, represents the instantaneous rate of change of f(x) at any given point.
- Power Rule: d⁄dx(xn) = nxn-1
- Constant Rule: d⁄dx(c) = 0
- Constant Multiple Rule: d⁄dx(cf(x)) = cf'(x)
(Note: This calculator supports basic polynomial and common trigonometric/exponential functions.)