WOLFRAM LANGUAGE TUTORIAL
Derivatives of Unknown Functions
Differentiating a known function gives an explicit result.
Differentiating an unknown function
gives a result in terms of
The Wolfram Language applies the chain rule for differentiation, and leaves the result in terms of
Differentiating again gives a result in terms of
When a function has more than one argument, superscripts are used to indicate how many times each argument is being differentiated.
. The Wolfram Language assumes that the order in which derivatives are taken with respect to different variables is irrelevant.
You can find the value of the derivative when
|first derivative of a function of one variable |
| ||n derivative of a function of one variable |
| ||derivative of a function of several variables, times with respect to variable i |
Output forms for derivatives of unknown functions.