Find dy/dx by implicit differentiation. x^1/2 + y^1/2 = 16

1/2  x^(-1/2) + 1/2 y^(-1/2) dy/dx = 0

1/2 y^(-1/2) dy/dx = -1/2 x^(-1/2)

y^(-1/2) dy/dx = - x^(-1/2)

 dy/dx = - x^(-1/2)/ y^(-1/2)

dy/dx = - (x/ y)^(-1/2)

-8

step-by-step explanation:

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