Use Implicit Differentiation to Find $\frac { \partial z } { \partial x }$

question 8

Short Answer

Use implicit differentiation to find $\frac { \partial z } { \partial x }$ .
$$\ln \left( x ^ { 2 } + z ^ { 2 } \right) + y z ^ { 3 } + 4 x ^ { 2 } = 6$$

---

Definitions:

Prosocial Behavior

Acts performed with the intention of benefiting others, such as helping, sharing, or donating.

Cyberbullying

A form of bullying or harassment using electronic means, typically through social media platforms, emails, or text messages.

Social Media Sites

Online platforms where users can create profiles, share content, and interact with others, facilitating social networking and information exchange.

Companionate Love

A form of love characterized by deep affection, emotional closeness, and commitment, rather than passionate romance and sexual desire.