The discussion clarifies the distinction between the curly d (∂) and the normal d (d) in calculus. The curly d is exclusively used for partial derivatives, which involve treating one variable as a variable while keeping others constant, thus ignoring their interrelationships. In contrast, the normal d represents total derivatives, where the relationships between variables are considered. This differentiation is crucial for correctly applying calculus in various mathematical contexts.
PREREQUISITESStudents and professionals in mathematics, physics, and engineering who require a clear understanding of derivatives, particularly in multivariable contexts.
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
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.