What is the difference between d/dx and d/d(x^2) in differentiation notation?

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SUMMARY

The discussion clarifies the difference between the differentiation notations d/dx and d/d(x^2). The notation d/dx represents the derivative with respect to the variable x, while d/d(x^2) indicates differentiation with respect to the variable x^2, treating x^2 as its own variable. This distinction is crucial for understanding how derivatives are calculated in different contexts, particularly in multivariable calculus.

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Hi members,

see attached PdF file.

What's the difference between d/dx and d/d(x^2) I don't understand this notation??

Thank You
 

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Belgium 12 said:
Hi members,

see attached PdF file.

What's the difference between d/dx and d/d(x^2) I don't understand this notation??

Thank You
As far as I can see, the notation ##\frac {\partial}{\partial a^2}## means the partial (of something) with respect to ##a^2##, where ##a^2## is being treated as its own variable.
 

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