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Display information for equation id:math.236142.47 on revision:236142

* Page found: Total derivative (eq math.236142.47)

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TeX (original user input): 

 {\operatorname{d}M \over \operatorname{d}t} = \frac{\operatorname d}{\operatorname d t} M \bigl(t, p_1(t), \ldots, p_n(t)\bigr).

TeX (checked): 

{\operatorname {d} M \over \operatorname {d} t}={\frac {\operatorname {d} }{\operatorname {d} t}}M{\bigl (}t,p_{1}(t),\ldots ,p_{n}(t){\bigr )}.

LaTeXML (experimental; uses MathML) rendering

MathML (7.634 KB / 1.226 KB) :

d ⁡ M d ⁡ t = d d ⁡ t ⁢ M ⁢ ( t , p 1 ⁢ ( t ) , … , p n ⁢ ( t ) ) . d 𝑀 d 𝑡 d d 𝑡 𝑀 𝑡 subscript 𝑝 1 𝑡 … subscript 𝑝 𝑛 𝑡 {\displaystyle{\operatorname{d}M\over\operatorname{d}t}={\frac{\operatorname{d% }}{\operatorname{d}t}}M{\bigl{(}}t,p_{1}(t),\ldots,p_{n}(t){\bigr{)}}.} 
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SVG (11.311 KB / 3.674 KB) :

StartFraction normal d upper M Over normal d t EndFraction equals StartFraction normal d Over normal d t EndFraction times upper M times left-parenthesis t comma p 1 times left-parenthesis t right-parenthesis comma ellipsis comma p Subscript n Baseline times left-parenthesis t right-parenthesis right-parenthesis period

SVG (MathML can be enabled via browser plugin) rendering

MathML (2.205 KB / 525 B) :

d ⁡ M d ⁡ t = d d ⁡ t M ( t , p 1 ( t ) , … , p n ( t ) ) . {\displaystyle {\operatorname {d} M \over \operatorname {d} t}={\frac {\operatorname {d} }{\operatorname {d} t}}M{\bigl (}t,p_{1}(t),\ldots ,p_{n}(t){\bigr )}.} 
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SVG (8.183 KB / 3.287 KB) :

{\displaystyle {\operatorname {d} M \over \operatorname {d} t}={\frac {\operatorname {d} }{\operatorname {d} t}}M{\bigl (}t,p_{1}(t),\ldots ,p_{n}(t){\bigr )}.}

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