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pottersheep
 3 years ago
Please help! "challenge" calc question. We just learned power, product, chain rules...(I have to draw it out)
pottersheep
 3 years ago
Please help! "challenge" calc question. We just learned power, product, chain rules...(I have to draw it out)

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pottersheep
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1360808280236:dw

pottersheep
 3 years ago
Best ResponseYou've already chosen the best response.0I must evaluate that

pottersheep
 3 years ago
Best ResponseYou've already chosen the best response.0I don't know how :(

RadEn
 3 years ago
Best ResponseYou've already chosen the best response.1use the L'hopital hint : differentiate for the numerator and the denominator

pottersheep
 3 years ago
Best ResponseYou've already chosen the best response.0We haven't learned questient rule if that is what you are saying?

RadEn
 3 years ago
Best ResponseYou've already chosen the best response.1it just the derivative of a function... u can use the basic formula : y = x^n > y ' = n*x^(n1) y = a (a is constant) > y ' = 0

pottersheep
 3 years ago
Best ResponseYou've already chosen the best response.0I tried using product rule and I still got zeros in my denominator though

RadEn
 3 years ago
Best ResponseYou've already chosen the best response.1we neednt use the product or quotien here, just deriv each terms

RadEn
 3 years ago
Best ResponseYou've already chosen the best response.1derivative of x^1000  1 = ... ? derivative of x  1 = .... ?

pottersheep
 3 years ago
Best ResponseYou've already chosen the best response.0ohhh because what I did was I wrote it as (X^10001)(x1)^1

pottersheep
 3 years ago
Best ResponseYou've already chosen the best response.0derivative of x^1000  1 = 1000x^999 derivative of x  1 = 1?

RadEn
 3 years ago
Best ResponseYou've already chosen the best response.1yes, that's right... now, just put x=1, u will get its answer

pottersheep
 3 years ago
Best ResponseYou've already chosen the best response.0no quotient rule? :o

RadEn
 3 years ago
Best ResponseYou've already chosen the best response.1dw:1360809016288:dw NO QUOTIENT RULE :)

pottersheep
 3 years ago
Best ResponseYou've already chosen the best response.0That's the right answer! Thank you, how come we dont have to use the quotient rule though if i have a fraction?

pottersheep
 3 years ago
Best ResponseYou've already chosen the best response.0and there is division

RadEn
 3 years ago
Best ResponseYou've already chosen the best response.1sorry, icant explaind more... my english so bad :)

pottersheep
 3 years ago
Best ResponseYou've already chosen the best response.0You're good at english I didnt even notice :) thank you for your time

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0I'll try to explain why the quotient rule isn't used. What @RadEn described was L'Hopital's rule, which says that the limit of some rational function f(x)/g(x) (a ratio of f to g), where both f and g are differentiable and g(x) is nonzero, is equal to the limit of the ratio of the derivatives of f and g. \[\lim_{x\to c}\frac{f(x)}{g(x)}=\lim_{x\to c}\frac{f'(x)}{g'(x)}\] The quotient rule itself wasn't used because you do not find the derivative for f(x)/g(x), but rather f(x) and g(x) separately.
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