In problems
3(a)
and
3(b)
, find the error that was made in solving each implicit differentiation problem. Identify the error and explain what was performed incorrectly. (a)
x^(2)y+y^(2)x=14
(d)/(dx)[x^(2)y+y^(2)x=14]
x^(2)(dy)/(dx)+2xy+y^(2)+2yx=0
x^(2)(dy)/(dx)=-4xy-y^(2)
(dy)/(dx)=(-4xy-y^(2))/(x^(2))