Examples for

# Derivatives

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 determining the differentiability of a function, as well as 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:

Differentiate functions implicitly defined by equations.

#### Differentiate an equation:

#### Compute a derivative using implicit differentiation:

Find the derivative of an arbitrary function.

#### Compute derivatives involving abstract functions:

#### Compute partial derivatives of abstract functions:

Calculate higher-order derivatives.

#### Compute higher-order derivatives:

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

#### Compute partial derivatives:

#### Compute higher-order partial derivatives:

Check if functions are differentiable over the field of real numbers.

#### Test differentiability of a function:

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Step-by-Step Solutions for CalculusCalculus Web AppFree Unlimited Calculus Practice Problems### RELATED EXAMPLES

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

#### Compute a directional derivative:

Explore many applications of derivatives.