Use the Chain Rule to Find $\frac { \partial w } { \partial s }$

question 156

Short Answer

Use the Chain Rule to find $\frac { \partial w } { \partial s }$ where $s = 4 , t = 0$ .
$$w = x ^ { 2 } + y ^ { 2 } + z ^ { 2 } , \quad x = s t , \quad y = s \cos t , \quad z = s \sin t$$

---

Definitions:

Academically Successful

Describes achieving high grades or excelling in educational pursuits through effective study habits and intellectual engagement.

Drug Use

The consumption of substances, which can alter the body's function or mind, ranging from prescribed medications to recreational drugs.

Parenting Style

The manner in which parents raise their children, characterized by different levels of responsiveness and demandingness.

Adolescence to Adulthood

The transitional stage from childhood to full maturity, encompassing physical, psychological, and social changes.