The derivative is often described as the instantaneous rate of change, the ratio of the instantaneous change in the dependent variable to that of the independent variable. [1] The …

We get a wrong answer if we try to multiply the derivative of cos (x) by the derivative of sin (x) ... ! Instead we use the "Product Rule" as explained on the Derivative Rules page.

Oct 18, 2025 · Derivative, 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 …

A derivative in calculus is the instantaneous rate of change of a function with respect to another variable. Differentiation is the process of finding the derivative of a function.

The derivative of a function describes the function's instantaneous rate of change at a certain point. Another common interpretation is that the derivative gives us the slope of the line …

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 …

Apr 4, 2022 · The Definition of the Derivative – In this section we define the derivative, give various notations for the derivative and work a few problems illustrating how to use the …

4 days ago · The derivative of a function is itself a function, so we can find the derivative of a derivative. For example, the derivative of a position function is the rate of change of position, …

Free derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, steps and graph

The derivative of a function is the ratio of the difference of function value f (x) at points x+Δx and x with Δx, when Δx is infinitesimally small. The derivative is the function slope or slope of the …