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Calculus
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Multivariable Calculus
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Magnitude of a Gradient
medium
Difficulty: medium
∇ Multivariable Calculus
·
18 pts
·
0 solved
Magnitude of a Gradient
Problem Statement
For
f
(
x
,
y
)
=
x
2
+
y
2
,
find
∣
∇
f
∣
at
(
3
,
4
)
\text{For } f(x,y)=x^2+y^2, \text{ find } |\nabla f| \text{ at } (3,4)
For
f
(
x
,
y
)
=
x
2
+
y
2
,
find
∣∇
f
∣
at
(
3
,
4
)
Your Answer (variables: x, y)
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Tips
Use standard math syntax:
^
for powers,
*
for multiplication.
Functions: sin, cos, tan, exp, log (natural log), sqrt.
Constants: pi, e.
For antiderivatives you can omit "+ C".