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Mathematics 15 Online
OpenStudy (anonymous):

Derivative question

OpenStudy (anonymous):

\[D \in respect \to x (-5/x^5+4\sqrt[5]{x}\]

OpenStudy (anonymous):

would it break down to (-5 times x^5 - 4x^1/5)

OpenStudy (anonymous):

i mean + 4x^1/5

OpenStudy (amistre64):

i think you complicated things with that

OpenStudy (amistre64):

\[\frac{d}{dx}(\frac{-5}{x^5}+4\sqrt[5]{x})\] \[\frac{d}{dx}\frac{-5}{x^5}\ +\frac{d}{dx}4\sqrt[5]{x}\] \[-5\frac{d}{dx}\frac{1}{x^5}\ +4\frac{d}{dx}\sqrt[5]{x}\] \[-5\frac{-1}{x^6}\ +4\frac{1}{5\sqrt[5]{x^4}}\] \[\frac{5}{x^6}\ +\frac{4}{5\sqrt[5]{x^4}}\]

OpenStudy (amistre64):

1/5 - 5/5 = -4/5

OpenStudy (amistre64):

\[\Large\frac{d}{dx}\sqrt[n]{x}\] \[\Large\frac{1}{n\sqrt{x^{n-1}}}\] maybe a good pattern

OpenStudy (anonymous):

the first part isnt -25/x^6 ?

OpenStudy (amistre64):

forgot a part ...\[\Large\frac{1}{n\sqrt[n]{x^{n-1}}}\] maybe

OpenStudy (amistre64):

it might be, im trying to type more than math :)

OpenStudy (amistre64):

yep, bring out the -5, good eye

OpenStudy (anonymous):

|dw:1317402176404:dw|

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