DIFFERENTIATE - Revision history

Jrheinlaender at 19:01, 27 June 2017

2017-06-27T19:01:44Z

← Older revision		Revision as of 19:01, 27 June 2017
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	This defines the equation for heat conduction and prepares it for integration by separation of the variables.		This defines the equation for heat conduction and prepares it for integration by separation of the variables.
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			[[PDIFFERENTIATE]] [[Differential]] [[Partial]]
	}}		}}
	[[Category:Manipulation]]		[[Category:Manipulation]]

Jrheinlaender at 19:50, 25 June 2017

2017-06-25T19:50:49Z

← Older revision		Revision as of 19:50, 25 June 2017
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	Differentiate the expression or both sides of the equation with respect to the symbol. The third parameter gives the number of times to differentiate.		Differentiate the expression or both sides of the equation with respect to the symbol. The third parameter gives the number of times to differentiate.

	If you are differentiating a function, e.g. <code>DIFFERENTIATE(f(x), x, 1)</code>, iMath will create a derivative object. This looks like a fraction with a differential in the numerator and another in the denominator. If you need to cancel a term in this fraction, you must use the [[SIMPLIFY\|simplification "~~canceldiff~~"]].		If you are differentiating a function, e.g. <code>DIFFERENTIATE(f(x), x, 1)</code>, iMath will create a derivative object. This looks like a fraction with a differential in the numerator and another in the denominator. If you need to cancel a term in this fraction, you must use the [[SIMPLIFY\|simplification "cancel-diff"]].

	You might be tempted to create a differential of a function manually with something like <code>differential(f) over differential(x)</code>. This is not the recommended way, though, because in complicated terms iMath might not be able to match the correct differentials in numerator and denominator, which can lead to strange results for higher-order derivatives and when printing.		You might be tempted to create a differential of a function manually with something like <code>differential(f) over differential(x)</code>. This is not the recommended way, though, because in complicated terms iMath might not be able to match the correct differentials in numerator and denominator, which can lead to strange results for higher-order derivatives and when printing.

Jrheinlaender at 18:29, 15 May 2017

2017-05-15T18:29:00Z

← Older revision		Revision as of 18:29, 15 May 2017
Line 5:		Line 5:
	Differentiate the expression or both sides of the equation with respect to the symbol. The third parameter gives the number of times to differentiate.		Differentiate the expression or both sides of the equation with respect to the symbol. The third parameter gives the number of times to differentiate.

	If you are differentiating a function, e.g. <code>DIFFERENTIATE(f(x), x, 1)</code>, iMath will ~~automatically separate~~ the ~~resulting expression into two~~ differential ~~objects~~ <code>df(x)</code> and ~~<code>dx^{~~-~~1}</code>, but will mark them as being connected, so that on~~ printing ~~they can be displayed correctly~~.		If you are differentiating a function, e.g. <code>DIFFERENTIATE(f(x), x, 1)</code>, iMath will create a derivative object. This looks like a fraction with a differential in the numerator and another in the denominator. If you need to cancel a term in this fraction, you must use the [[SIMPLIFY\|simplification "canceldiff"]].

			You might be tempted to create a differential of a function manually with something like <code>differential(f) over differential(x)</code>. This is not the recommended way, though, because in complicated terms iMath might not be able to match the correct differentials in numerator and denominator, which can lead to strange results for higher-order derivatives and when printing.

	It is possible to differentiate to a symbol that is a function.		It is possible to differentiate to a symbol that is a function.
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	<code>@eq1@ EQDEF q = -k A DIFFERENTIATE( T,x,1 )</code>		<code>@eq1@ EQDEF q = -k A DIFFERENTIATE( T,x,1 )</code>

	<code>@eq2@ EQDEF @eq1@ * differential(x)</code>		<code>@eq2@ EQDEF SIMPLIFY(@eq1@ * differential(x), "canceldiff")</code>

	This defines the equation for heat conduction and prepares it for integration by separation of the variables.		This defines the equation for heat conduction and prepares it for integration by separation of the variables.
	}}		}}
	[[Category:Manipulation]]		[[Category:Manipulation]]

Jrheinlaender: Created page with "{{Keyword | `DIFFERENTIATE ( equation|expression, symbol, expression)` | Differentiate the expression or both sides of the equation with respec..."

2017-03-26T19:17:48Z

Created page with "{{Keyword | <code>DIFFERENTIATE ( equation|expression, symbol, expression)</code> | Differentiate the expression or both sides of the equation with respec..."

New page

{{Keyword
|
<code>DIFFERENTIATE ( [[equation]]|[[expression]], [[symbol]], [[expression]])</code>
|
Differentiate the expression or both sides of the equation with respect to the symbol. The third parameter gives the number of times to differentiate.

If you are differentiating a function, e.g. <code>DIFFERENTIATE(f(x), x, 1)</code>, iMath will automatically separate the resulting expression into two differential objects <code>df(x)</code> and <code>dx^{-1}</code>, but will mark them as being connected, so that on printing they can be displayed correctly.

It is possible to differentiate to a symbol that is a function.
|
3=
<code>FUNCTION { {none}, T, x}</code>

<code>@eq1@ EQDEF q = -k A DIFFERENTIATE( T,x,1 )</code>

<code>@eq2@ EQDEF @eq1@ * differential(x)</code>

This defines the equation for heat conduction and prepares it for integration by separation of the variables.
}}
[[Category:Manipulation]]

DIFFERENTIATE - Revision history

Jrheinlaender at 19:01, 27 June 2017

Jrheinlaender at 19:50, 25 June 2017

Jrheinlaender at 18:29, 15 May 2017

Jrheinlaender: Created page with "{{Keyword | DIFFERENTIATE ( equation|expression, symbol, expression) | Differentiate the expression or both sides of the equation with respec..."

Jrheinlaender: Created page with "{{Keyword | `DIFFERENTIATE ( equation|expression, symbol, expression)` | Differentiate the expression or both sides of the equation with respec..."