Answered: fx,y) xyy2 x3+y3 (x,y) + (0,0) 0 (x,y)…

Math

Calculus

fx,y) xyy2 x3+y3 (x,y) + (0,0) 0 (x,y) = (0,0)

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.CR: Chapter 6 Review

Problem 36CR

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Question

Consider the function
a. Decide if f is continuous at (0,0)
b. Decide if is differentiable at (0,0)
c. Can the partial derivatives f be continuous at (0,0)?

xy²
f(x,y) = x³+y³
(x, y) = (0,0)
0 (x, y) = (0,0)

With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.

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