Why the product rule?
Hello dear community,
I have a question regarding the product rule. When differentiating sums, the sum rule is used, which is differentiated summand by summand. Now, when I consider a product, I might also consider simply differentiating the two factors and that's it. I understand the product rule myself, but I don't know why the above is wrong.
Lg
And that’s why your idea doesn’t work against 0 when crossing h.
Again I understood how to derive the product rule. My question was whether there is a reason why this is a doofe idea with the factorwise deriving.
That’s exactly my answer, why this is a stupid idea. You don’t understand. What I wrote should be true so that your idea could work. The equation behind your idea is wrong. Note the “is not equal“
derivation of f + g is f’ + g’
Discharge f*g is not f’
@evtldocha has already mentioned the evidence.