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Mathematics 16 Online
OpenStudy (sleepyjess):

One more question (for now)

OpenStudy (sleepyjess):

\(f(x) = 2 + \dfrac3x + \dfrac4{x^2}\) I have to find the derivative again

OpenStudy (sleepyjess):

@ganeshie8

OpenStudy (sleepyjess):

I'm not sure how to start this one

ganeshie8 (ganeshie8):

\[(f+g)' = f' + g'\] Simply differentiate term by term

OpenStudy (sleepyjess):

I think I got it, 3/x is the same as 3x^-1 and 4/x^2 is the same as 4x^-2

ganeshie8 (ganeshie8):

That's a good start

OpenStudy (sleepyjess):

\(-3x^{-2} - 8x^{-3}\) \(f'(x) = \dfrac{-3}{x^2} - \dfrac8{x^2}\)?

ganeshie8 (ganeshie8):

Don't you mean -3/x^2 - 8/x^3 ?

OpenStudy (sleepyjess):

Whoops, yep :)

ganeshie8 (ganeshie8):

then it looks perfect! lets also check w/ woflram http://www.wolframalpha.com/input/?i=(2+%2B+%5Cdfrac3x+%2B+%5Cdfrac4%7Bx%5E2%7D)%27

ganeshie8 (ganeshie8):

Good job!

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