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

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Chapter 2, 2.5 - Problem 3 - Calculus of a Single Variable (10th Edition, Ron Larson).
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hkj1385 | (Level 1) Assistant Educator

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`x^(1/2) + y^(1/2) = 16`

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

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

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