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Free Derivative Calculator helps you solve first-order and higher-order derivatives. For trigonometric, logarithmic, exponential, polynomial expressions. Answers, graphs, alternate forms.
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Derivative [n1, n2, ...] [f] is the general form, representing a function obtained from f by differentiating n1 times with respect to the first argument, n2 times with respect to the second argument, and so on.
Step-by-step solution. Roots in the complex plane. Polynomial discriminant. Show class number. Properties as a real function. Domain. Range. Parity. Indefinite integral.
Whether you want to find a derivative using the limit definition or using some of the many techniques of differentiation, such as the power, quotient or chain rules, Wolfram|Alpha has you covered. Even performing implicit differentiation, finding partial derivatives and finding the value of a derivative at a point are broken down and explained ...
The derivative D [f [x], {x, n}] for a symbolic f is represented as Derivative [n] [f] [x]. For some functions f , Derivative [ n ] [ f ] [ x ] may not be known, but can be approximated by applying N .