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.

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

Returns derivative of f with respect to a.

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

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

Example:

• Derivative[x^2] yields "2 x".
  
  Assuming you've declared f as f(x):=a*x^3
• Derivative[f(x)] yields 3 a x².
• Derivative[f(x), a] yields x³.
• Derivative[f(x), x, 2] yields 6 a x.