Question

Find the values of u and the value of Duf(1,-1) (the directional derivative at 1,-1) for the following (included in the image)

Let f(x,y) xxy+ yy. Find the directions u and the values of D,f(1, 1) for which the following is true
a. Duf(1, 1) is largest
b. Duf(1, 1) is smallest
d. Duf(1, 1) 4
c. Duf1, ) 0
e. Duf(1, 1)3
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Transcribed Image Text

Let f(x,y) xxy+ yy. Find the directions u and the values of D,f(1, 1) for which the following is true a. Duf(1, 1) is largest b. Duf(1, 1) is smallest d. Duf(1, 1) 4 c. Duf1, ) 0 e. Duf(1, 1)3

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