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Derivatives measure the rate of change along a curve with respect to a given real or complex variable. Wolfram|Alpha is a great resource for calculating the derivatives of trigonometric, logarithmic, exponential, polynomial and many other types of mathematical expressions. Differentiation has many applications within physics, trigonometry, analysis, optimization and other fields.


Differentiate an expression with respect to a given variable.

Calculate the derivative of a function:

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Higher Derivatives

Calculate higher order derivatives.

Compute higher derivatives:

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Implicit Differentiation

Differentiate functions implicitly defined by equations.

Differentiate an equation:

Compute a derivative using implicit differentiation:

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Partial Derivatives

Find the partial derivative with respect to a single variable or compute mixed partial derivatives.

Compute partial derivatives:

Compute higher partial derivatives:

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Directional Derivatives

Calculate the derivative of a multivariate function in a specified direction.

Compute a directional derivative:

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Derivatives of Abstract Functions

Find the derivative of an arbitrary function.

Compute derivatives involving abstract functions:

Compute partial derivatives of abstract functions:

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