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Derivative of Implicit Multivariable Function – Calculating partial derivatives to two-variable function – Exercise 4342

Exercise

The equation (with parameter a)

$x^2+y^2+z^2=a^2$

Defines the implicit function

$z(x,y)$

Find its partial derivative z‘_x, z’_y.

Final Answer

z&apos;_x(x,y)=\frac{-x}{z}

$z'_y(x,y)=\frac{-y}{z}$

Solution

Coming soon…

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