Is there a way I could use the derivative of a polynomial \(f(x)\), i.e, finding the slope of \(f(x)\) at a given or any \(x\) to solve polynomial problems, like the problems that show up in math olympiads and tests?

Thank you!

Is there a way I could use the derivative of a polynomial \(f(x)\), i.e, finding the slope of \(f(x)\) at a given or any \(x\) to solve polynomial problems, like the problems that show up in math olympiads and tests?

Thank you!

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TopNewestYes of course, there are lots of ways of doing so. For example, if you want to find the coefficient of the linear term, evaluate \( f'(0) \).

What other ways can you think of? – Calvin Lin Staff · 1 year, 4 months ago

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Thanks for your reply, by the way. – Shashank Rammoorthy · 1 year, 4 months ago

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What else? What else are derivatives used in? How else can we use them? – Calvin Lin Staff · 1 year, 4 months ago

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