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

question 92

Multiple Choice

Use the Chain Rule to find $\frac { \partial z } { \partial s }$ .
$$z = e ^ { \gamma } \cos ( \theta ) , r = 6 s t , \theta = \sqrt { s ^ { 2 } + t ^ { 2 } }$$

• A)
• \[\frac { \partial z } { \partial s } = e ^ { y } \left( 6 t \cos ( \theta ) - \frac { s \sin ( \theta ) } { \sqrt { s ^ { 2 } + t ^ { 2 } } } \right)\]
• B)
• \(\frac { \partial z } { \partial s } = \left( 6 t \cos ( \theta ) + \frac { \operatorname { se } ^ { \gamma } \sin ( \theta ) } { \sqrt { s ^ { 2 } + t ^ { 2 } } } \right)\)
• C)
• \(\frac { \partial z } { \partial s } = e ^ { y } \left( t \cos ( \theta ) - \frac { s \sin ( \theta ) } { \sqrt { s ^ { 2 } + t } } \right)\)
• D)
• \(\frac { \partial z } { \partial s } = e ^ { \gamma } \left( 6 t \cos ( \theta ) + \frac { s \sin ( \theta ) } { \sqrt { s ^ { 2 } - t ^ { 2 } } } \right)\)
• E)
• \(\frac { \partial z } { \partial s } = e ^ { \gamma } \left( \cos ( \theta ) + \frac { s \sin ( \theta ) } { \sqrt { s ^ { 2 } - t ^ { 2 } } } \right)\)

---

Definitions:

Long or Complicated Call

A phone conversation characterized by its extended duration or the complexity of the issues discussed.

Summarize Details

The process of condensing the most important information from a larger body of data or text into a concise and comprehensive overview.

Written Summary

A concise representation of the main points or features of a document or discourse, put into writing.

Pronunciation

The sounding out of words.