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

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

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

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

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
+ 4*x^7/2 ?
 one year ago

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

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
@NoelGreco
 one year ago

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

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
14x/x^9/2
 one year ago

NoelGreco Group TitleBest ResponseYou've already chosen the best response.1
The 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.
 one year ago

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

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

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

satellite73 Group TitleBest 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
 one year ago

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

sami21 Group TitleBest ResponseYou've already chosen the best response.1
Before 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.
 one year ago

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

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

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

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

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

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
@sami21
 one year ago

sami21 Group TitleBest ResponseYou've already chosen the best response.1
yes that is correct.
 one year ago
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