(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

[answerhappygod]

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 1 (14.65 KiB) Viewed 73 times

(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)