(a) State, without proof, the chain rule for a function f(x(t), y(t)) (b) Let f(x,y) = ry? - cos (xy), in which a(t) = s
Posted: Tue Sep 07, 2021 7:47 am
(a) State, without proof, the chain rule for a function f(x(t), y(t)) (b) Let f(x,y) = ry? - cos (xy), in which a(t) = sint and y(t) = e' Use the chain rule to compute df de (#(t), y(t)), expressing your answer in terms of t. (c) Considering the function (or, y) from part (b), find the tangent plane off at the point (1,1) (a) Compute the directional derivative of the function }(x,y) from part (b) at the point (16, 1) in the direction (1,1)