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AS_97819678-Gravel
8-Gravel
January 7, 2025
Question

Symbolic Derivative

  • January 7, 2025
  • 1 reply
  • 551 views

If I have a more complicated equation and want to find its derivative using a symbolic tool, how can I do that? For example, with a simple function like F = k*x, the derivative is easy, but for more complex functions, it can be very time-consuming.

AS_9781967_0-1736240039752.png

 

1 reply

W
Werner_E25-Diamond I
25-Diamond I
January 7, 2025

Derivative of an equation?

And if you are looking for the derivative of a function, you have to define a function, say what variable(s) the function should depend on.

Werner_E_0-1736249116860.png

In case you are looking for the total  derivative of a function with two or more arguments - Prime does not provide a mean to show it in the usual way  using the differentials, but you can use the Nabla operator to show all partial derivatives.

Of course you could fake it by writing

Werner_E_0-1736255732518.png

or

Werner_E_1-1736255753542.png

but the dY, dx and dP in these expressions would not be differentials but just normal undefined variables.

 

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