Wolfram Function Repository
Instant-use add-on functions for the Wolfram Language
Function Repository Resource:
Evaluate the product derivative of a function
ResourceFunction["ProductD"][f,x] gives the product derivative of the function f with respect to x. | |
ResourceFunction["ProductD"][f,{x,n}] gives the nth multiple product derivative of the function f with respect to x. |
Product derivative of xa:
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Third product derivative of ex:
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Product derivative of a polynomial:
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Product derivative of the product logarithm:
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The product derivative of a function is defined as a limit:
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Higher-order product derivatives can be defined recursively:
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Product rule for the product derivative:
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Quotient rule for the product derivative:
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A function whose product derivative is itself:
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