Does $$ ∅*(\frac{d}{dξ})=∅*(\frac{d1}{dξ}) $$?(adsbygoogle = window.adsbygoogle || []).push({});

If is true,

Does multiplying a function and a derivative equals to the derivative of that function? For e.g. $$ ∅*(\frac{d}{dξ})=\frac{d∅}{dξ} $$ where ∅ is a function of ξ

But isn't it supposed to be like this(based on the product rule), $$ ∅*(\frac{d}{dξ}) = ∅*(\frac{d1}{dξ}) = \frac{d}{dξ}*∅-1*\frac{d∅}{dξ} $$ ?

What if ∅ is a constant or is not a function of ξ?

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# Differentiatial equation

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