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If z^4=x^3+y^2, dx/dt=1, dy/dt=3, and z>0, find dz/dt at (x,y)=(0,4). Please give an exact answer.

If z^4=x^3+y^2, dx/dt=1, dy/dt=3, and z>0, find dz/dt at (x,y)=(0,4).

Please give an exact answer.

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