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$5.00 Calculus Discussion Forum need help

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  • Due on Apr. 13, 2012
  • Asked on Apr. 05, 2012 at 11:46:34AM
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TopOutLaw07
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Q:

Calculate the derivative for the function f(x)= 3x3(x-2)-2 using both the Product Rule and the Quotient Rule. What is the derivative and which is the correct rule to use in this situation or does it make a difference? Is one easier than the other? if, so, why or why not.

 

 

 
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calculation and discussion of which rule to use
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  • Posted on Apr 05, 2012 at 12:06:40PM
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DitDede
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A:
Preview: ...                           = ( 9x 2* (x-2)  - 6 x3 )/(x-2) 3                           = (3x 3-18x 2)/ (x-2) 3  So, we get the same result. Both rules work fine in this case and it is mainly a matter o ...
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Solution, 100% correct with step-by-step procedure
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  • Posted on Apr 05, 2012 at 12:09:14PM
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elecdesign
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Preview: ... ule because the solution is pretty straightforward and does not need to use divisors.     For the attachment (document): Calculate the derivative of 3x -4 using both the definition of the derivative, and the Product rule. What is the derivative and what are the differences in these two procedures? If you thin ...
The full tutorial is about 245 words long .
 
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Detailed Answer
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statwaves
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Preview: ... =g(x) derivative(1/h(x))+g'(x)/h(x)    but using chain rule , derivative(1/h(x))=derivative(h(x)^-1)=-h(x)^-2 h'(x). so f'(x)=g(x) (-h(x)^-2 h'(x))+g'(x)/h(x) = -g(x) h'(x ...
The full tutorial is about 121 words long .