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Yuliya22 [10]
2 years ago
9

Find dy/dx for (y^2/x) = 18 by implicit differentiation

Mathematics
1 answer:
Natasha2012 [34]2 years ago
6 0

9514 1404 393

Answer:

  dy/dx = y/(2x)

Step-by-step explanation:

The product formula can be used, along with the power rule.

  d(uv) = du·v +u·dv

__

  d(y^2/x) = d(18)

  2y·dy/x -y^2/x^2·dx = 0

  2x·dy -y·dx = 0 . . . . . . . . multiply by x^2/y

  dy/dx = y/(2x) . . . . . . . . add y·dx, divide by 2x·dx

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