Question: Consider the function f(x,y)=2x^2+3y^2/x-y if x doesnt = y, and 0 if x=y. Compute fpartialx(0,0) directly from the limit definition of a partial derivative: fpartialx(x0,y0)=lim

Consider the function f(x,y)=2x^2+3y^2/x-y if x doesnt = y, and 0 if x=y.

Compute fpartialx(0,0) directly from the limit definition of a partial derivative: 

fpartialx(x0,y0)=lim as h->0 f(x0+h,y0)-f(x0,y0)/h

Step by Step Solution

3.56 Rating (153 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Answer 1x y x 3y xy x y lim h0 00 lim A0 lim k... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!