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Homework answers / question archive / Question1 If f(x,y)=x2y+xy3 , x=s/s+1, and y=test , find ðf/ðs and ðf/ðt 2) Let f(x,y)=x3 +xy2

Question1 If f(x,y)=x^{2}y+xy^{3} , x=s/s+1, and y=te^{st} , find ðf/ðs and ðf/ðt

2) Let f(x,y)=x^{3 }+xy^{2}. Determine the following:

a) (2 points) The gradient of f

b) (2 points) The maximum rate of change of f at (2,3)

c) (2 points) The directional derivative of f at the point (-1, 4) in the direction of ¥ = (4, -3)

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