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 one year ago
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
 one year ago
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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mathcalculus
 one year ago
Best ResponseYou've already chosen the best response.0thinkg the quotient rule first?

mathcalculus
 one year ago
Best ResponseYou've already chosen the best response.0since it's a fraction

pgpilot326
 one year ago
Best ResponseYou've already chosen the best response.1have a look at this... you obviously have missed a few things in your class http://tutorial.math.lamar.edu/Classes/CalcI/DefnOfDerivative.aspx

mathcalculus
 one year ago
Best ResponseYou've already chosen the best response.0yes, i did.. it;s a summer session so we skipped a few.

pgpilot326
 one year ago
Best ResponseYou've already chosen the best response.1ps, 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

pgpilot326
 one year ago
Best ResponseYou've already chosen the best response.1the h is only in there because you using the definition and should not show up anywhere in your answer.

satellite73
 one year ago
Best ResponseYou've already chosen the best response.0you are being asked for the derivative of \(\frac{1}{x^6}\)
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