Consider the function Show that fxx, y 4x3x2 y213,0,x, y 0, 0x, y 0, 0
Chapter 13, Problem 136(choose chapter or problem)
Consider the function \(f(x, y)=\left(x^{2}+y^{2}\right)^{2 / 3}\). Show that
\(f_{x}(x, y)=\left\{\begin{array}{ll}
\frac{4 x}{3\left(x^{2}+y^{2}\right)^{1 / 3}}, & (x, y) \neq(0,0) \\
0, & (x, y)=(0,0)
\end{array}\right\).
Text Transcription:
f(x,y)=(x^2+y^2)^⅔
f_x(x,y)=frac4x3(x2+y^2)^1/3,&(x,y)neq(0,0)0, (x,y)=(0,0)
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