Question

1) Find the directional derivative of the function at the given point and in the direction of the vector u as shown

when f(x,y)= sen(2x+3y); (-6,4); u=(1/2)(sqrt(3)),-1)

POSSIBLE ANSWERS

A) sqrt(3)-(3/2)

B) (3/2)+sqrt(3)

C) (3/2)-sqrt(3)

D) -(3/2)-sqrt(3)

2) Find the direction in which the function is growing or decreasing more rapidly at the point shown:

f(x,y)=x(e^y)-lnx; (4,0)

POSSIBLE ANSWERS:

A) u=(3/(sqrt(265)) , 16/(sqrt(265)))

B)u=(3/(sqrt(265)) , -16/(sqrt(265)))

C)u=(16/(sqrt(265)) , 3/(sqrt(265)))

D)u=(-3/(sqrt(265)) , 16/(sqrt(265)))

Answer 1

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