SOLUTION: Find the partial derivatives of f(x,y,z)= x^2y^3/z Thank youuuuu if you could help :)

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the partial derivatives of f(x,y,z)= x^2y^3/z Thank youuuuu if you could help :)      Log On


   

Question 352121: Find the partial derivatives of f(x,y,z)= x^2y^3/z Thank youuuuu if you could help :)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f=%28x%5E2y%5E3%29%2Fz=x%5E2y%5E3z%5E%28-1%29
Remember treat the other variables as constant while differentiating with respect to one variable.
fx=2xy%5E3z%5E%28-1%29=%282xy%5E3%29%2Fz
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.
fy=3x%5E2y%5E2z%5E%28-1%29=%283x%5E2y%5E2%29%2Fz
.
.
fz=-x%5E2y%5E3z%5E%28-2%29=-%28x%5E2y%5E3%29%2Fz%5E2