Usando a regra do Quociente, Y′=U′⋅V′−U⋅V′V2Y′=U′⋅V′−U⋅V′V2 , faça a derivada parcial da função: f(x,y)=sen(x)cos(x)⋅y a. dfdy=cosx⋅cosy(cos(y))2...

Usando a regra do Quociente, Y′=U′⋅V′−U⋅V′V2Y′=U′⋅V′−U⋅V′V2 , faça a derivada parcial da função: f(x,y)=sen(x)cos(x)⋅y


a. dfdy=cosx⋅cosy(cos(y))2dfdy=−senx⋅seny(cos(y))2dfdy=cosx⋅cosy(cos(y))2dfdy=−senx⋅seny(cos(y))2
b. dfdx=senx⋅seny(cos(y))2dfdy=dfdy=−senx⋅seny(cos(y))2dfdx=senx⋅seny(cos(y))2dfdy=dfdy=−senx⋅seny(cos(y))2
c. dfdx=cosx⋅senx−senx+ysenx(cosx⋅y)2dfdy=−senxcosx⋅y2dfdx=cosx⋅senx−senx+ysenx(cosx⋅y)2dfdy=−senxcosx⋅y2
d. dfdx=cosx⋅cosy(cos(y))2dfdy=senx−seny(cos(y))2dfdx=cosx⋅cosy(cos(y))2dfdy=senx−seny(cos(y))2