lgbasallote
what is the highest order derivative of \[\large 100x^{100} + 99x^{99} + 98x^{98} + \cdots + 1\]
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UnkleRhaukus
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what is the condition on the derivative?
lgbasallote
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what do you mean?
sauravshakya
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Well, every time u take derivative the degree of the polynomial will decrease by 1.
lgbasallote
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?
UnkleRhaukus
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you can take the derivative of that expression as many times as you want , after a while you' ll get zero and after that you'll get zero every other time as-well
lgbasallote
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hmm so you're telling me that it's 0?
sauravshakya
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Nope.
lgbasallote
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then what?
sauravshakya
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U will get 0 at the 101th derivative.
lgbasallote
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not exactly