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Let f(x,y,z)=xy+z^3, x=r+s−8t, y=3rt, z=s^6. Use the Chain Rule to calculate the partial derivatives. (Use symbolic...

Let f(x,y,z)=xy+z^3, x=r+s−8t, y=3rt, z=s^6.

Use the Chain Rule to calculate the partial derivatives.

(Use symbolic notation and fractions where needed. Express the answer in terms of independent variables

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