Shortcut for Quotient Ruleby Skyler0114 Tags: calculus, derivative, function, quotient rule, second derivative 

#1
Dec912, 10:35 PM

P: 23

Hi Guys,
I remember back in the days of Calc I learning that there was an easy way to take multiple derivatives of certain functions that needed repeated uses of the quotient rule. I was wondering if anybody remembered that trick. 



#2
Dec912, 11:17 PM

P: 2,480

is this like using the difference of squares to reduce the function into a product of factors that you then can use the product or quotient rule on:
http://calculustricks.com/page/3/ 



#3
Dec1012, 01:37 AM

P: 23

Like here: http://www.wolframalpha.com/input/?i...%29&lk=4&num=1 http://www.wolframalpha.com/input/?i...+arctan%28x%29 http://www.wolframalpha.com/input/?i...+arctan%28x%29 http://www.wolframalpha.com/input/?i...+arctan%28x%29 http://www.wolframalpha.com/input/?i...+arctan%28x%29 and another function http://www.wolframalpha.com/input/?i...%2F%28x%2B1%29 http://www.wolframalpha.com/input/?i...%2F%28x%2B1%29 http://www.wolframalpha.com/input/?i...%2F%28x%2B1%29 http://www.wolframalpha.com/input/?i=3rd+derivative+x%2F%28x^3%2B1%29 



#4
Dec1012, 07:00 AM

P: 2,480

Shortcut for Quotient Rule
okay prof nearing in his math methods book describes a method differentiating a constant that seems to do that:
its called parametric differentiation in section 1.2 of the pdf listed below: http://www.physics.miami.edu/~nearin...asic_stuff.pdf 


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