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Calculate the partial derivatives ∂U∂T and ∂T∂U of (TU−V)2ln(W−UV)=1 at (T,U,V,W)=(4,1,9,18) using implicit differentiation: ∂U∂T∣∣∣(4,1,9,18)= equation...

Calculate the partial derivatives ∂UT and ∂TU

of

(TUV)2ln(WUV)=1

at (T,U,V,W)=(4,1,9,18)

using implicit differentiation:

UT∣∣∣(4,1,9,18)=

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TU∣∣∣(4,1,9,18)=

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