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

Show final answer

Solution

Coming soon…