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    Challening Differentiatioin Problem

    If : z=x²+2y² While: y=r sinθ x= r cosθ Find :- 1- (dz/dx)y 2- (dz/dx)r 3- (dz/dx)θ 4- (dz/dy)x 5- (dz/dy)r 6- (dz/dy)θ 7- (dz/dθ)x 8- (dz/dθ)y 9- (dz/dθ)r 10- (dz/dr)θ 11- (dz/dr)x 12- (dz/dr)y 13- d²z/dxdy 14- d²z/dxdθ 15- d²z/dydθ 16- d²z/drdx 17- d²z/drdθ 18- d²z/dxdy
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