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Derivative of Implicit Multivariable Function – Calculating partial derivatives to two-variable function – Exercise 4340

Exercise

The equation

4x^2+2y^2-3z^2+yx-zy=4-x

Defines the implicit function

z(x,y)

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

Final Answer


z'_x(x,y)=\frac{8x+y+1}{6z+y}

z'_y(x,y)=\frac{x+4y-z}{6z+y}

Solution

Coming soon…

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