Caculus

Differential Operator

Operator: differential expr

Operator: ' expr

The Jacal command differential computes the derivative of the expression expr with respect to a generic derivation. It is generic in the sense that nothing is assumed about its effect on the individual variables. The derivation is denoted by a right quote.

e6 : differential(x^2+y^3);

                2
e6: 2 x x' + 3 y  y'

e7 : (x^2+y^3)';

                2
e7: 2 x x' + 3 y  y'

Derivative Commands

Command: diff expr var1 ...

The Jacal command diff computes the derivative of the expression expr with respect to var1, ....

e6 : diff(x^2+y^3,y);

       2
e6: 3 y

Command: partial expr var1 ...

The Jacal command partial computes the partial derivative of the expression expr with respect to var1, ....

e6 : partial(x^2+@1^3,1);

        2
e6: 3 @1

Command: PolyDiff poly var1 ...

The Jacal command PolyDiff computes the derivative of the expression poly with respect to var1, .... It is faster than diff but poly must be a polynomial.

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