anonymous
  • anonymous
HELP: use your knowledge of the derivative to compute the limit given below: lim (x+h)^(-3.25) -x^(-3.25)/h h->0 the derivative that is being calculated is dy/dx
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
That is just a complicated way of asking you: "What is the derivative of x^-3.25 ?"
anonymous
  • anonymous
oh.. but how do i get to my answer? what are the steps and why is it questioned in this format?
anonymous
  • anonymous
i know how to find the derivative ^

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anonymous
  • anonymous
-3.25x^-4.25
anonymous
  • anonymous
do we use quotient rule?
anonymous
  • anonymous
If you are allowed to "use your knowledge of the derivative", you could say that by definition the derivative of a function (here your function is x^-3.25) is the limit as h approaches 0 of f(x + h) - f(x). Therefore, this limit equals the derivative of x^-3.25 which is (and you know how to do the derivative, right?)
anonymous
  • anonymous
yes your derivative is correct
anonymous
  • anonymous
no quotient rule here
anonymous
  • anonymous
so whats the main purpose of these kinds of questions? for ex: what if it was a square root problem... do we find only the deriative of the f(x+h) an thats our answer?
anonymous
  • anonymous
find the derivative of f(x)...forget about the h. I think your prof just want's you to see how easy it is to do limits in that form now that you can do derivatives. Or maybe he / she wants to reinforce how derivatives relate to limits.
anonymous
  • anonymous
ex: (x+h)^(12/12) -x^(12/12) / h
anonymous
  • anonymous
so do we find the derivative: 12?

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