   Chapter 14.3, Problem 104E

Chapter
Section
Textbook Problem

If f ( x , y )  =  x 3  +  y 3 3 find fx(0, 0).

To determine

To find: The value of fx(0,0) if f(x,y)=x3+y33 .

Explanation

Definition used:

If f is a function of two variables, its partial derivatives fx and fy are defined as a limit by,

fx(x,y)=limh0f(x+h,y)f(x,y)hfy(x,y)=limh0f(x,y+h)f(x,y)h

Calculation:

By definition, fx(0,0)=limh0f(x+h,y)f(x,y)h .

Substitute the value of x=0 and y=0 in the above equation

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