A partial derivative of a function of several variables is its derivative with respect to one of those variables, with the others held constant. Partial derivatives are used in vector calculus and differential. Enter the function you want to find the derivative of in the editor.
The derivative calculator supports solving first, second.., fourth derivatives, as well as implicit differentiation and finding the zeros/roots. Free derivative calculator helps you solve first-order and higher-order derivatives. Feb 13, 2026derivative, in mathematics, the rate of change of a function with respect to a variable.
Geometrically, the derivative of a function can be interpreted as the slope of the graph of the function. Nov 16, 2022in this section we define the derivative, give various notations for the derivative and work a few problems illustrating how to use the definition of the derivative to actually compute the. Shows how to do derivatives with step-by-step solutions!
Just like a slope tells us the direction a line is going, a derivative value tells us the direction a curve is going at a particular spot. At each point on the graph, the derivative value is the slope of the tangent. In general, derivatives are mathematical objects which exist between smooth functions on manifolds.
In this formalism, derivatives are usually assembled into " tangent maps." performing numerical.
