Use the contour diagram for f(x, y) shown below to estimate the directional deri

Question

Use the contour diagram for f(x, y) shown below to estimate the directional derivative of f in the direction vvect at the point P. At the point P = (2, 2) in the direction vvect = ivect, the directional derivative is approximately At the point P = (3, 2) in the direction vvect = ivect, the directional derivative is approximately At the point p = (4, 1) in the direction vvect = (ivect + jvect)/ , the directional derivative is approximately At the point P = (2, 0) in the direction vvect = -ivect, the directional derivative is approximately

Explanation / Answer

(a)

P(2,2) in i direction

2 / 0.2 = 10

(b)

P(3,2) in -i direction

-2 / 0.2 = -10

(c)

P (4,1) in (i + j) / sqrt(2)

= 2 / sqrt (0.04 + 0.04) = 7.071

(d)

at P (2,0) in -i direction

derivative is 0

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