Question

Find the maximum rate of change among all possible directions for the function f(x, y)=x^2*y^3+2x^4*y at the point (-1, 1).

Answer 1

find the gradient \[\nabla f|_{(-1,1)}\]

Answer 2

What's the gradient?

Answer 3

partial derivative of f

Answer 4

Then do you plug in the point?

Answer 5

plug the point in, not plug in the point

Answer 6

Okay.