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6.19.5 Implicit differentiation: implicitdiff

The implicitdiff command can differentiate implicitly defined functions or expressions containing implicitly defined functions. It has three different calling sequences.


To implicitly differentiate dependent variables:


Examples.


To find a specified derivative of an expression containing implicitly defined functions:


Example.
Input:

implicitdiff(x*y,-2x^3+15x^2*y+11y^3-24y=0,y(x),x)

Output:

2 x3−5 x2y+11 y3−8 y
5 x2+11 y2−8


To find all kth order derivatives of an expression involving implicitly defined functions:


Examples.


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