fbpx
calculus online - Free exercises and solutions to help you succeed!

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

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

Solution

Coming soon…

Share with Friends

Leave a Reply