Use implicit differentiation to find partial(z)/partial(x) and partial(z)/partial(y). sin(xyz) =...

Question:

Use implicit differentiation to find {eq}\frac{\partial z}{\partial x} {/eq} and {eq}\frac{\partial z}{\partial y} {/eq}.

{eq}\sin(xyz) = x + 7y + 3z {/eq}

Partial Derivative:

The partial derivative is a derivative of a function of two or more variables with respect to one variable whereas the others are taken as constant.

To solve the first problem, we'll apply implicit differentiation. In this case, we'll collect the derivative in one side in order to get the desired solution.

Answer and Explanation:

We are given:

{eq}\displaystyle \sin(xyz) = x + 7y + 2z {/eq}

We need to find out {eq}\frac{\partial z}{\partial x} {/eq} So take a partial...

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Differential Calculus: Definition & Applications

from Calculus: Help and Review

Chapter 13 / Lesson 6
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