derivitive of 3xy if y is treated as a differentiable func.

[rragas]

derivitive of 3xy if y is treated as a differentiable func.

is it 3xy' + y

?

 

[arthur ohlsten]

let Z=3xy take the derivative
dZ=3d[xy] by the derivative of the product
dZ=3[x dy + y dx] answer

if this doesn't look familiar let us use a different notation
let Z=3xy take the derivative with respect to t
dZ/dt=3[xdy/dt + y dx/dt] multiply both sides by dt and we have the above
Arthur

 

[rragas]

i think this answers my question. thanks