Find {eq}\frac{\partial z}{\partial x} {/eq} and {eq}\frac{\partial z}{\partial y} {/eq}.

{eq}x^2 + 8y^2 + 5z^2 = 1 {/eq}


Find {eq}\frac{\partial z}{\partial x} {/eq} and {eq}\frac{\partial z}{\partial y} {/eq}.

{eq}x^2 + 8y^2 + 5z^2 = 1 {/eq}

Partial Derivatives:

The partial differentiation operation is applied in order to find the rate of change of an expression with respect to only a particular variable. We would know that this operation is applicable whenever we are considering a multi-variable expression. Additionally, this can be implemented when we intend to perform operations like optimizing the function.

Answer and Explanation: 1

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We find the indicated partial derivatives of the expression. We do this by implicitly differentiating the function with respect to the corresponding...

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Partial Derivative: Definition, Rules & Examples


Chapter 18 / Lesson 12

What is a Partial Derivative? Learn to define first and second order partial derivatives. Learn the rules and formula for partial derivatives. See examples.

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