a differentiable real valued function f has at the point (1, 2), directional derivatives +2 in the direction toward (2, 2) and -2 in the direction toward (1, 1). determine the gradient vector at (1, 2) and compute the directional derivative in the direction toward (4, 6).
We know that directional derivative
=
Now directional derivative in the direction towards (2,2) is +2
i.e. (
f
Also Directional derivative towards (1,1)-
Gradient
Directional Derivative towards (4,6) is-
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