3.Let f R2 R be a function.(i) Explain in your own words the relationship between theexistence of all partial derivatives of f and differentiability of f at apoint x = R².(ii)Consider R2 → R defined by:[5 Marks]f(x1, x2) = |2x1x2|1/2Show thatafaf-(0,0) = 0 and-(0, 0) = 0,Jx1მx2but f is not differentiable at (0,0).[10 Marks]

### (i) Relationship Between Existence of Partial Derivatives and DifferentiabilityThe existence of…

Answered: 3. Let f R2 R be a function. (i)…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 50E

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