This Derivative Calculator & Derivative Solver lets you calculate derivatives of functions online!
The calculator supports computing upto the 10th derivative as well as differentiating functions.
With the Derivative Calculator you can check your solutions to calculus exercises. Even though it can show a step by step differentiation, it is not meant to be used for cheating!
For Step-by-Step instructions click on Step-by-Step in the 1st page of the result.
What is a Derivative?
In calculus, a branch of mathematics, the derivative is a measure of how a function changes as its input changes. Loosely speaking, a derivative can be thought of as how much one quantity is changing in response to changes in some other quantity; for example, the derivative of the position of a moving object with respect to time is the object's instantaneous velocity.
The derivative of a function at a chosen input value describes the best linear approximation of the function near that input value. Informally, the derivative is the ratio of the infinitesimal change of the output over the infinitesimal change of the input producing that change of output. For a real-valued function of a single real variable, the derivative at a point equals the slope of the tangent line to the graph of the function at that point. In higher dimensions, the derivative of a function at a point is a linear transformation called the linearization. A closely related notion is the differential of a function.
The process of finding a derivative is called differentiation.
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