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HELP: Use your knowledge of the derivative to compute the limit given below:
The derivative that is being calculated is
 8 months ago
 8 months ago
HELP: Use your knowledge of the derivative to compute the limit given below: The derivative that is being calculated is
 8 months ago
 8 months ago

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mathcalculusBest 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?
 8 months ago

asnaseerBest ResponseYou've already chosen the best response.0
do you know how to write the general form for the derivative of f(x)?
 8 months ago

SithsAndGigglesBest 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.
 8 months ago

mathcalculusBest ResponseYou've already chosen the best response.0
im not sure how to start this
 8 months ago

SithsAndGigglesBest 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.
 8 months ago

mathcalculusBest ResponseYou've already chosen the best response.0
right i used the power rule.
 8 months ago

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