Question

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

Answer 1

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)