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mathcalculus
 one year ago
Derivative Question: Help (attached below)
mathcalculus
 one year ago
Derivative Question: Help (attached below)

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NoelGreco
 one year ago
Best ResponseYou've already chosen the best response.1Get rid of the radicals.

satellite73
 one year ago
Best ResponseYou've already chosen the best response.1hint:\[ x^5\sqrt{x}=x^{5+\frac{1}{2}}=x^{\frac{11}{2}}\]

mathcalculus
 one year ago
Best ResponseYou've already chosen the best response.0right.. 3x^(11/2)

NoelGreco
 one year ago
Best ResponseYou've already chosen the best response.1That's it, and go with a negative exponent on the second term to avoid the quotient rule.

mathcalculus
 one year ago
Best ResponseYou've already chosen the best response.0i got: 3x^(11/2)+14/x^9/2..

NoelGreco
 one year ago
Best ResponseYou've already chosen the best response.1\[3x ^{\frac{ 11 }{ 2 }}4x ^{\frac{ 7 }{ 2 }}\] Now take the derivative.

NoelGreco
 one year ago
Best ResponseYou've already chosen the best response.1The derivative of the second term is\[\frac{ d }{ dx }3x ^{\frac{ 11 }{ 2 }}=\frac{ 33 }{ 2 }x ^{\frac{ 9 }{ 2 }}\] I don't know how you're trying to take the derivative, but you simply use the power rule on each term.

mathcalculus
 one year ago
Best ResponseYou've already chosen the best response.0from 3x^ (11/2) + 14x^(9/2)

mathcalculus
 one year ago
Best ResponseYou've already chosen the best response.0doesn't the x9/2 down

mathcalculus
 one year ago
Best ResponseYou've already chosen the best response.0@NoelGreco hey sorry to interrupt. but i just needed to figure this out before leaving..

satellite73
 one year ago
Best ResponseYou've already chosen the best response.1\[\frac{d}{dx}14x^{\frac{9}{2}}=\frac{9}{2}\times 14x^{\frac{9}{2}1}\]whatever that is

mathcalculus
 one year ago
Best ResponseYou've already chosen the best response.0this is my work so far:

sami21
 one year ago
Best ResponseYou've already chosen the best response.1Before applying the power rule combine the terms as told you previously . \[\Large f(x)=3x^5.x^\frac{1}{2}\frac{4}{x^3.x^\frac{1}{2}}\] combining the terms \[\Large f(x)=3x^\frac{11}{2}\frac{4}{x^\frac{7}{2}}\] \[\Large f(x)=3x^\frac{11}{2}4x^{\frac{7}{2}}\] now Apply the Power rule.

mathcalculus
 one year ago
Best ResponseYou've already chosen the best response.0thank you are you still there @sami21

mathcalculus
 one year ago
Best ResponseYou've already chosen the best response.0i have one question if you dont mind

mathcalculus
 one year ago
Best ResponseYou've already chosen the best response.0what if they ask: derivative of sqrt(6x)

mathcalculus
 one year ago
Best ResponseYou've already chosen the best response.0i dont know why i always messed them up

mathcalculus
 one year ago
Best ResponseYou've already chosen the best response.0i thought it would be like this: = 6x^(1/2) then =3x^(1/2) =3/(x^(1/2)
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