Question

would you just move the z to the other side to find the gradient vector of
z=2e^(3y)cos(2x)

Answer 1

I would take the partials with respect to x, and y and construct the vector at a given point.

Answer 2

need to find the tangent plane and normal line at the point (pi/3,0,-1)

Answer 3

Take the partials, and evaluate them at that point.

Answer 4

yea i know that, but do you move the z to the right side or not, how would you take the partial of z if left on the left