Difference between revisions of "Derivative Command"

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; Derivative[<Curve>, <Number n>]: {{description}}
 
; Derivative[<Curve>, <Number n>]: {{description}}
  
{{Note| 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.}}
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{{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.}}
  
 
==CAS Syntaxes==
 
==CAS Syntaxes==

Revision as of 15:49, 29 July 2011


Derivative[<Function>]
Returns the derivative of the function.
Derivative[<Function>, <Number n>]
Returns the nth derivative of the function.
Derivative[<Curve>]


Derivative[<Curve>, <Number n>]


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

CAS Syntaxes

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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