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Chapter 12: Q 67. (page 965)

Prove that 鈭�f=0if fis the constant functionf(x,y)=c.

Short Answer

Expert verified

Solve for鈭�f=i鈭�f鈭�x+j鈭�f鈭�yto prove the above result.

Step by step solution

01

Given Information

It is given thatf(x,y)=c.

02

Simplification

Using 鈭�f=i鈭�f鈭�x+j鈭�f鈭�y

鈭�f鈭�x=0and 鈭�f鈭�y=0

Hence

鈭�f(x,y)=i鈭�f鈭�x+j鈭�f鈭�y

鈭�f(x,y)=i(0)+j(0)

role="math" localid="1653834651698" 鈭�f(x,y)=0

Therefore鈭�f(x,y)=0

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