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Chapter 12: Q. 31 (page 944)

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

fx,y=xsiny

Short Answer

Expert verified

The first-order partial derivatives are鈭�f鈭�x=sinyand鈭�f鈭�y=xcosy.

Step by step solution

01

Given 

The given function is: fx,y=xsiny

02

To find 

We have to find the first-order partial derivatives.

03

Calculation 

fx,y=xsiny鈭�f鈭�x=鈭�鈭�xxsiny鈭�f鈭�x=sinyfx,y=xsiny鈭�f鈭�y=鈭�鈭�yxsiny鈭�f鈭�y=x鈭�鈭�ysiny鈭�f鈭�y=xcosyHence,鈭�f鈭�x=sinyand鈭�f鈭�y=xcosy.

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