Find the direction in which the maximum rate of change occurs for the function
f
(
x
,
y
)
=
4
x
sin
(
x
y
)
\displaystyle {f{{\left({x},{y}\right)}}}={4}{x}{\sin{{\left({x}{y}\right)}}}
f
(
x
,
y
)
=
4
x
sin
(
x
y
)
at the point (5,4). Give your answer as a unit vector.
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\displaystyle
Enter your answer as a vector. Example: <2,5.5172>
Enter each value as a number (like 5, -3, 2.2172) or as a calculation (like 5/3, 2^3, 5+4)
Enter DNE for Does Not Exist, oo for Infinity