Operator D vs. Function diff - Maple Help

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Operator D vs. Function diff

Description

• 

The D operator computes derivatives of operators, while diff computes derivatives of expressions.

• 

The argument and result of D are functional operators, while the argument and result of diff are expressions.

• 

The following diagram illustrates the transitions that occur using D, diff, unapply, and function application.

       function application -->

 f   -----------------------------   f(x)

           <-- unapply

 |                                    |

 |                                  d | ^

 |                                  i | |

 |D()                               f |

 | |                                f | i

 | |                                  | n

 | V                                | | t

 |                                  V |

 |                                    |

       function application -->

D(f) ----------------------------   f'(x)

           <-- unapply

Examples

Dsinx

cosx

(1)

&DifferentialD;&DifferentialD;xsinx

cosx

(2)

Df&commat;g

Df&commat;gDg

(3)

&DifferentialD;&DifferentialD;xf&commat;gx

Dfgx&DifferentialD;&DifferentialD;xgx

(4)

See Also

D, diff, operators[functional], unapply


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