Difference between revisions of "Derivative Command"

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; Derivative[<Function>]: Returns the derivative of the function.  
 
; Derivative[<Function>]: Returns the derivative of the function.  
 
; Derivative[<Function>, <Number n>]: Returns the ''n''<sup>th</sup> derivative of the function.
 
; Derivative[<Function>, <Number n>]: Returns the ''n''<sup>th</sup> derivative of the function.
; Derivative[<Curve>]: {{description}}
+
; Derivative[<Curve>]: Returns the derivative of the curve.
; Derivative[<Curve>, <Number n>]: {{description}}
+
:{{Note|It only works for parametric curves.}}
 +
; Derivative[<Curve>, <Number n>]: Returns the ''n''<sup>th</sup> derivative of the curve.
 +
:{{Note|It only works for parametric curves.}}
  
 
{{Note| 1=You can use <code>f'(x)</code> instead of <code>Derivative[f]</code>, or <code>f<nowiki>''</nowiki>(x)</code> instead of <code>Derivative[f, 2]</code>, and so on.}}
 
{{Note| 1=You can use <code>f'(x)</code> instead of <code>Derivative[f]</code>, or <code>f<nowiki>''</nowiki>(x)</code> instead of <code>Derivative[f, 2]</code>, and so on.}}

Revision as of 10:11, 4 August 2011


Derivative[<Function>]
Returns the derivative of the function.
Derivative[<Function>, <Number n>]
Returns the nth 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 nth 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 nth derivative of f with respect to a.
Example:  
  • Derivative[x^2] gives you "2x".

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