Consider the function

f(x,y)=4sin(7x4y)

and the point

P(0,).

a. Find the unit vectors that give the direction of steepest ascent and steepest descent at P.

b. Find a vector that points in a direction of no change in the function at P.

Question content area bottom

Part 1

a. What is the unit vector in the direction of steepest ascent at P?

enter your response here,enter your response here

(Type exact answers, using radicals as needed.)