   Chapter 14.2, Problem 36E

Chapter
Section
Textbook Problem

Determine the set of points at which the function is continuous.36. f ( x , y , z ) = y − x 2 ln z

To determine

The set of points on which the function f(x,y,z)=yx2lnz is continuous.

Explanation

The given function is, f(x,y,z)=yx2lnz .

Consider the given function as a composition of two functions such as lnz and yx2 .

It is known that, yx2 is defined when yx20 as the radicand cannot take negative values and lnz is defined when z>0

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