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Mathematics 18 Online
OpenStudy (anonymous):

hi, "Differentiate: y=[v^3-2v(v)^(1/2)]/v ty!

OpenStudy (anonymous):

let me see if i get this, \[dy/dv [(v^3-2v(v^.5)/(v)]\] if so first simplify the top to v^3-2v^3/2 then turn the whole equation into (v^3-2v^3/2)(v^-1) then use the chain rule to get (3v^2-3v^.5)(v^-1)+(v^3-2v^3/2)(v^-2)(-1) then use algebra to simplify

OpenStudy (anonymous):

\[y=[v^3-2v(v)^0.5]/v\] it it your equation?

OpenStudy (anonymous):

this is the answer: \[Y'= [2v^3-v^1.5]/v^2\]

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