DIFFERENTIATE

Syntax

DIFFERENTIATE ( equation|expression, symbol, expression)

Implemented in iMath since version 2.2.0 or earlier.

Explanation

Differentiate the expression or both sides of the equation with respect to the symbol. The third parameter gives the number of times to differentiate.

If you are differentiating a function, e.g. DIFFERENTIATE(f(x), x, 1), iMath will automatically separate the resulting expression into two differential objects df(x) and dx^{-1}, but will mark them as being connected, so that on printing they can be displayed correctly.

It is possible to differentiate to a symbol that is a function.

Example

FUNCTION { {none}, T, x}

@eq1@ EQDEF q = -k A DIFFERENTIATE( T,x,1 )

@eq2@ EQDEF @eq1@ * differential(x)

This defines the equation for heat conduction and prepares it for integration by separation of the variables.

See also

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