Derivative Command

Derivative[ <Function> ]

Returns the derivative of the function.

Derivative[ <Function>, <Number n> ]

Returns the n^th derivative of the function.

Derivative[ <Curve> ]

Returns the derivative of the curve.

Note: It only works for parametric curves.

Derivative[ <Curve>, <Number n> ]

Returns the n^th derivative of the curve.

Note: It only works for parametric curves.

Note: You can use f'(x) instead of Derivative[f], or f''(x) instead of Derivative[f, 2], and so on.

CAS Syntax

In CAS View only following syntax is supported:

Derivative[ <Function f> or <Expression f> ]

Returns derivative of f with respect to x.

Example:

Derivative[x^2] yields "2 x".

Example:

Derivative[a x^3] yields 3 a x².

Derivative[ <Function f> or <Expression f>, <Variable a> ]

Returns derivative of f with respect to a.

Example:

Derivative[a x^3, a] yields x³.

Derivative[ <Function f> or <Expression f>, <Variable a>, <Number n> ]

Returns the n^th derivative of f with respect to a.

Example:

Derivative[a x^3, x, 2] yields 6 a x.