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 $s = 4 , t = 0$ .
$$w = x ^ { 2 } + y ^ { 2 } + z ^ { 2 } , \quad x = s t , \quad y = s \cos t , \quad z = s \sin t$$

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Definitions:

Automatic Processes

Automatic processes are mental activities that occur without conscious effort or awareness, typically allowing people to perform tasks quickly and efficiently.

Self-Regulation

The ability to monitor and control one's own behaviors, emotions, or thoughts, aligning them with long-term goals.

Incremental Theorist

An individual who believes that abilities and intelligence can grow and change through effort and education.

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Entity Theorist believes that personal qualities such as intelligence or talent are fixed and unchangeable traits, influencing how individuals approach challenges and learning opportunities.