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Find the total derivative dz/dt, given z=f(x,y,t) where x=a+bt and y=c+dtAsked by Salman
Find the total derivative dz/dt, given
z=f(x,y,t) where x=a+bt and y=c+dt
z=f(x,y,t) where x=a+bt and y=c+dt
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Answered by
drwls
Without specifying the f(x,y,t) function, you can only give a general formula.
dz/dt(total) = Ýz/Ýx*dx/dt + Ýz/Ýy*dy/ dt + Ýz/Ýt
where all of the z derivatives on the right are partial derivatives.
dz/dt(total) = b Ýz/Ýx+ c Ýz/Ýy + Ýz/Ýt
I won't know if the Ý symbol will display properly until I send this.
dz/dt(total) = Ýz/Ýx*dx/dt + Ýz/Ýy*dy/ dt + Ýz/Ýt
where all of the z derivatives on the right are partial derivatives.
dz/dt(total) = b Ýz/Ýx+ c Ýz/Ýy + Ýz/Ýt
I won't know if the Ý symbol will display properly until I send this.
Answered by
drwls
the "del" (slanted Greek d) symbol should have appeared where you see
Ýz/
Ýz/
Answered by
Tariku
Idon't know this answer
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