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Chapter 12: Q. 33 (page 944)

Find the first-order partial derivatives for the functions in Exercises 27鈥�36.

fr,胃=rsin胃

Short Answer

Expert verified

The first-order partial derivatives are鈭�f鈭�r=sin胃and鈭�f鈭�胃=rcos胃

Step by step solution

01

Given 

The given function is:fr,胃=rsin胃

02

To find 

We have to find the first-order partial derivatives.

03

Calculation 

fr,胃=rsin胃鈭�f鈭�r=鈭�鈭�rrsin胃鈭�f鈭�r=sin胃fr,胃=rsin胃鈭�f鈭�胃=鈭�鈭�胃rsin胃鈭�f鈭�胃=rcos胃Hence,鈭�f鈭�r=sin胃and鈭�f鈭�胃=rcos胃

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