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Derivative of Implicit Multivariable Function – Calculate partial derivatives to an equation with fractions – Exercise5498

Exercise

Given the implicite function

1=\frac{y}{x}+\frac{xz}{y^2}+\frac{yz^3}{x^4}

1. Check that the point

(3,3,0)

Holds the equation.

2. Calculate its derivatives

z'_x, z'_y

At this point.

Final Answer


z'_x(3,3,0)=1

z'_y(3,3,0)=-1

Solution

Coming soon…

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