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Mathematics 21 Online
OpenStudy (anonymous):

Please help with this math question, attached beow

OpenStudy (anonymous):

OpenStudy (anonymous):

e to the x is its own derivative

OpenStudy (anonymous):

use the power rule for the second one

jimthompson5910 (jim_thompson5910):

Hint: \[\Large \frac{2}{\sqrt[3]{x}} = \frac{2}{x^{1/3}}\] \[\Large \frac{2}{\sqrt[3]{x}} = 2*\frac{1}{x^{1/3}}\] \[\Large \frac{2}{\sqrt[3]{x}} = 2*x^{-1/3}\]

OpenStudy (anonymous):

would it be that be the answer? @jim_thompson5910

jimthompson5910 (jim_thompson5910):

no, that helps you when it comes to using the power rule @satellite73 mentioned

jimthompson5910 (jim_thompson5910):

Power Rule: if `y = x^n`, then `dy/dx = n*x^(n-1)`

OpenStudy (anonymous):

would the answer be 6e^x + 2/ 2x^-1/3 ? @jim

OpenStudy (anonymous):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

|dw:1445042226769:dw|

jimthompson5910 (jim_thompson5910):

the first step when it comes to using the power rule is to pull down the exponent of -1/3 |dw:1445042250631:dw|

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