Derivative of Undefined Function

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I'd like to do calculus on some functions without defining them. When I do this, I don't always get the correct answers. What's the correct way to do this?

1_Derivative-of-Undefined-Function-mcdx.zip

Calculus_Derivatives

Werner_E

25-Diamond I

This looks like a bug which is already present in Mathcad, too.

BTW, if you want to avoid the red errors, which stem from the numeric processor, you can add the function name f as argument of your functions.

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Derivative of Undefined Function

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