If f(x, y, z) = 3x®y - y3z?, find grad • at the point
(1, -2, -1)
Answers
Answered by
0
Answer:
The gradient is
=
<
−
12
,
−
9
,
−
16
>
Explanation:
The gradient is a vector :
∇
f
=
(
∂
f
∂
x
,
∂
f
∂
y
,
∂
f
∂
z
)
f
(
x
,
y
,
z
)
=
3
x
2
y
−
y
3
z
2
∂
f
∂
x
=
6
x
y
∂
f
∂
y
=
3
x
2
−
3
y
2
z
2
∂
f
∂
z
=
−
2
y
3
z
∇
f
(
x
,
y
,
z
)
=
(
6
x
y
,
3
x
2
−
3
y
2
z
2
,
−
2
y
3
z
)
∇
f
(
1
,
−
2
,
−
1
)
=
(
−
12
,
−
9
,
−
16
)
Explanation:
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