#15 if x=u(1-v) and y=uv prove that JJ'=1 | if x=v^2+w^2,y=u^2+w^2,z=u^2+v^2,prove that JJ'=1

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In this video lecture we are discussed basic concept of Jacobins of partial derivatives.
This video helpful to Engineering Students and also helpful to MSc/BSc/CSIR NET / GATE/IIT JAM students.
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Q.1)if x=u(1-v) and y=uv prove that JJ'=1 ,
Q.2)if x=v^2+w^2 y=u^2+w^2 and z=u^2+v^2 prove that JJ^'=1 ,
Q.3) if u^3+v^3=x+y and u^2+v^2=x^3+y^3 find ∂(u,v)/∂(x,y)
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