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mathcalculus
 2 years ago
HELP: Use your knowledge of the derivative to compute the limit given below:
The derivative that is being calculated is
mathcalculus
 2 years ago
HELP: Use your knowledge of the derivative to compute the limit given below: The derivative that is being calculated is

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mathcalculus
 2 years ago
Best ResponseYou've already chosen the best response.0im confused. am i suppose to use the power rule or quotient rule to find the derivative?

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

SithsAndGiggles
 2 years ago
Best ResponseYou've already chosen the best response.1It 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.

mathcalculus
 2 years ago
Best ResponseYou've already chosen the best response.0im not sure how to start this

SithsAndGiggles
 2 years ago
Best ResponseYou've already chosen the best response.1Well 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.

mathcalculus
 2 years ago
Best ResponseYou've already chosen the best response.0right i used the power rule.

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