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athcalculus HELP: use your knowledge of the derivative to compute the limit given below: lim ((1/(x+h)^6)-(1/(x^6))/h h->0 the derivative that is being calculated is dy/dx

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is it -6/(x-h)?
thinkg the quotient rule first?
since it's a fraction

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Other answers:

have a look at this... you obviously have missed a few things in your class
yes, i did.. it;s a summer session so we skipped a few.
ps, i'm not bagging on you but am attempting to help. if you realize they've given you the definition of the derivative for the function f(x) = 1/x^6, then it's very easy to rewrite as f(x) = x^(-6) and then take the derivative
the h is only in there because you using the definition and should not show up anywhere in your answer.
you are being asked for the derivative of \(\frac{1}{x^6}\)

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