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Mathematics 9 Online
OpenStudy (anonymous):

sketch the graph of f ' below it http://www.webassign.net/scalcet7/2-8-011.gif

jimthompson5910 (jim_thompson5910):

hint: the blue graph is very similar to a cube root function http://2012books.lardbucket.org/books/beginning-algebra/section_11/b00c0d402361791f08d50115680ef3bc.jpg

OpenStudy (anonymous):

but the derivative is different from the original graph @jim_thompson5910

jimthompson5910 (jim_thompson5910):

yes, but are you able to find the derivative function for f(x) = x^(1/3) ?

jimthompson5910 (jim_thompson5910):

I'll be right back.

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

if we use wolfram alpha to derive x^(1/3), we get this graph http://www.wolframalpha.com/input/?i=cbrt%28x%29+%2F+%283x%29

OpenStudy (anonymous):

that correct! thank you! @jim_thompson5910

jimthompson5910 (jim_thompson5910):

np

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