# 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...

See full answer below.

Become a Study.com member to unlock this answer! Create your account

View this answer#### Learn more about this topic:

from Calculus: Help and Review

Chapter 13 / Lesson 6#### Ask a question

Our experts can answer your tough homework and study questions.

Ask a question Ask a question#### Search Answers

#### Explore our homework questions and answer library

#### Our tutors are standing by

Ask a study question and one of our experts will send you an answer within hours.

To ask a site support question, click here

### Your question has been submitted!

When your answer is ready, it will appear on your Dashboard.

New! Get a text message when your answer is ready

Get Text AlertsNew! Get a text message when your answer is ready

Thanks! We'll text you when your answer is ready!