Where does this come from? | Mathematics | Page 1

earnest ridge Sep 30, 2022, 10:12 AM

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I understand that this formula is used to calculate the derivative of a function, but i want to know where this comes from?

lucid niche Sep 30, 2022, 10:26 AM

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the prove uses the derivative definition and binomial theorem

earnest ridge Sep 30, 2022, 10:27 AM

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can you elaborate?

ember widget Sep 30, 2022, 1:03 PM

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so .. binomial theorem is..

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$(a+b)^n=\sum_{k=0}^{n} \binom{n}{k}a^{n-k}b^k$

inner perchBOT Sep 30, 2022, 1:04 PM

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pratham

ember widget Sep 30, 2022, 1:05 PM

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and you should know...

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$\dv{y}{x}=\lim_{h\to 0} \frac{f(x+h)-f(x)}{h}$

inner perchBOT Sep 30, 2022, 1:06 PM

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pratham

ember widget Sep 30, 2022, 1:07 PM

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f(x)=x^n
so you get (x+h)^n which you may simplify using binomial theorem

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will you try it now @earnest ridge

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?

earnest ridge Sep 30, 2022, 1:16 PM

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Oh

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Ok

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Thanks

#Where does this come from?