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Chapter 12: Q. 34 (page 944)

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

gr,胃=rcos胃

Short Answer

Expert verified

The first-order partial derivatives are鈭�g鈭�r=cos胃and鈭�g鈭�胃=-rsin胃

Step by step solution

01

Given  

The given function is: gr,胃=rcos胃

02

To find 

We have to find the first-order partial derivatives.

03

Calculation  

gr,胃=rcos胃鈭�g鈭�r=鈭�鈭�rrcos胃鈭�g鈭�r=cos胃gr,胃=rcos胃鈭�g鈭�胃=鈭�鈭�胃rcos胃鈭�g鈭�胃=r-sin胃鈭�g鈭�胃=-rsin胃Hence,鈭�g鈭�r=cos胃and鈭�g鈭�胃=-rsin胃

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