Find the directional derivative of
z
=
x
3
−
5
y
3
\displaystyle {z}={x}^{{3}}-{5}{y}^{{3}}
z
=
x
3
−
5
y
3
in the direction of
θ
=
π
4
\displaystyle \theta=\frac{\pi}{{4}}
θ
=
4
π
at the point
(
0
,
0
)
\displaystyle {\left({0},{0}\right)}
(
0
,
0
)
.
D
u
⃗
f
(
0
,
0
)
\displaystyle {D}_{{\vec{{u}}}}{f{{\left({0},{0}\right)}}}
D
u
f
(
0
,
0
)
=
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\displaystyle
Enter your answer 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