Curly d vs Normal d: Derivatives Explained

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Curly d is specifically used for partial derivatives, while normal d denotes total derivatives. Partial derivatives treat one variable as independent while keeping others constant, ignoring their interrelationships. In contrast, total derivatives account for the relationships between all variables involved. Understanding when to use each notation is crucial for correctly interpreting derivatives in calculus. This distinction is essential for solving problems in multivariable calculus.
roberto85
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The title says it all, what is the difference between the curly d used for derivatives and a normal d in derivatives. When do you know when to use each one? Thanks
 
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roberto85 said:

Homework Statement


The title says it all, what is the difference between the curly d used for derivatives and a normal d in derivatives. When do you know when to use each one? Thanks

Curly d is used for partial derivatives. Regular d is for a total derivative.

Partial derivatives are when treat one variable as a variable and keep the rest as constants ignoring the relationship between the variables.

Total derivatives are when you do the same as above but the relationship between variables remains.
 


Sorry! said:
Curly d is used for partial derivatives. Regular d is for a total derivative.

Partial derivatives are when treat one variable as a variable and keep the rest as constants ignoring the relationship between the variables.

Total derivatives are when you do the same as above but the relationship between variables remains.

Thanks, i did remember the curly d being used a lot in partial deriv's, but wasnt sure that was their sole use. Thanks for clearing it up
 
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