11.6 Directional Derivatives and the Gradient Vector
objectives
to be able to calculate the directional derivative in
R
2
and
R
3
to be able to evaluate the gradient at a given point
to be able to maximize the directional derivative
to be able to find equations of a tangent plane and normal line using directional derivatives
key ideas and/or vocabulary
directional derivative
gradient vector (grad
f
)
maximum value of directional derivative
generalized equation of a plane
solved problems - using key ideas
understanding the directional derivative, #1
calculating the directional derivative, #3
finding and evaluating the gradient at a given point, #6
calculating the directional derivative in
R
3
, #9
finding maximum rate of change of
f
, #13
finding equation of tangent plane and normal line to a surface at a given point, #28
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