How do I write a proof that it is possible to obtain the product rule from chain rule, sum rule and from $\frac{d}{dx} x^2=2x$ ?
Hint: $(x+y)^2−(x−y)^2$ , but I do not really understand this hint, can someone else give me better hints?
2026-04-04 08:38:09.1775291889
How do I write a proof that it is possible to obtain the product rule from chain rule, sum rule and from $\frac{d}{dx} x^2=2x$?
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Wow that's a nice question!
Expand $$ (f+g)^2-(f-g)^2 = ? $$ Compute the derivative of the left side using chain rule and $\frac d{dx}x^2=2x$, and simplify. You will arrive at the product rule!