Question

Calculate $\frac{\partial z}{\partial x}$ and $\frac{\partial z}{\partial y}$ at the points (1, 85, 3) and (1, 85, -3), where z is defined implicitly by the equation $z^4 + z^2x^2 - y - 5 = 0$. (Give exact answers. Use symbolic notation and fractions where needed.) $\frac{\partial z}{\partial x}|_{(1,85,3)} = $ $\frac{\partial z}{\partial y}|_{(1,85,3)} = $ $\frac{\partial z}{\partial x}|_{(1,85,-3)} = $ $\frac{\partial z}{\partial y}|_{(1,85,-3)} = $

          Calculate $\frac{\partial z}{\partial x}$ and $\frac{\partial z}{\partial y}$ at the points (1, 85, 3) and (1, 85, -3), where z is defined implicitly by the equation $z^4 + z^2x^2 - y - 5 = 0$.
(Give exact answers. Use symbolic notation and fractions where needed.)
$\frac{\partial z}{\partial x}|_{(1,85,3)} = $
$\frac{\partial z}{\partial y}|_{(1,85,3)} = $
$\frac{\partial z}{\partial x}|_{(1,85,-3)} = $
$\frac{\partial z}{\partial y}|_{(1,85,-3)} = $

$Calculate (∂ z)/(∂ x) and (∂ z)/(∂ y) at the points (1, 85, 3) and (1, 85, -3), where z is defined implicitly by the equation z^4 + z^2x^2 - y - 5 = 0. (Give exact answers. Use symbolic notation and fractions where needed.) (∂ z)/(∂ x)|(1,85,3) = (∂ z)/(∂ y)|(1,85,3) = (∂ z)/(∂ x)|(1,85,-3) = (∂ z)/(∂ y)|(1,85,-3) =$

Added by Michael B.

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