1
GATE IN 2005
MCQ (Single Correct Answer)
+2
-0.6
A scalar field is given by $$f = {x^{2/3}} + {y^{2/3}},$$ where $$x$$ and $$y$$ are the Cartesian coordinates. The derivative of $$'f'$$ along the line $$y=x$$ directed away from the origin at the point $$(8, 8)$$ is
A
$${{\sqrt 2 } \over 3}$$
B
$${{\sqrt 3 } \over 2}$$
C
$${2 \over {\sqrt 3 }}$$
D
$${3 \over {\sqrt 2 }}$$
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