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mathcalculus
Group Title
HELP: Use your knowledge of the derivative to compute the limit given below:
The derivative that is being calculated is
 one year ago
 one year ago
mathcalculus Group Title
HELP: Use your knowledge of the derivative to compute the limit given below: The derivative that is being calculated is
 one year ago
 one year ago

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mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
im confused. am i suppose to use the power rule or quotient rule to find the derivative?
 one year ago

asnaseer Group TitleBest ResponseYou've already chosen the best response.0
do you know how to write the general form for the derivative of f(x)?
 one year ago

SithsAndGiggles Group TitleBest ResponseYou've already chosen the best response.1
It sounds like the problem is asking you to recognize that the given limit is the definition of the derivative of some function. Given \(\displaystyle\lim_{h\to0}\dfrac{f(x+h)f(x)}{h}\), find \(f(x)\). Then, simply compute the derivative.
 one year ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
im not sure how to start this
 one year ago

SithsAndGiggles Group TitleBest ResponseYou've already chosen the best response.1
Well do you know how to find the derivative? The way the question is stated makes it sound like you've learned some of or all the "rules" for differentiation. In this case, since \(f(x)=\dfrac{1}{x^6}\), you would apply the power rule to find the derivative, and that would be your answer.
 one year ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
right i used the power rule.
 one year ago

SithsAndGiggles Group TitleBest ResponseYou've already chosen the best response.1
Okay, so that gives you \[f(x)=\frac{1}{x^6}=x^{6}~\Rightarrow~f'(x)=\cdots\]
 one year ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
6/x^7
 one year ago

SithsAndGiggles Group TitleBest ResponseYou've already chosen the best response.1
Right.
 one year ago
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