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mathcalculus
 2 years ago
Derivative Question: Help (attached below)
mathcalculus
 2 years ago
Derivative Question: Help (attached below)

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

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

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

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

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

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

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

sami21
 2 years 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
 2 years ago
Best ResponseYou've already chosen the best response.0thank you are you still there @sami21

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

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

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

mathcalculus
 2 years 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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