Question: Let f(x, y) = 3x 2 + e 3y . (a) Find the total differential of f. (b) Find the directional derivative of f at

Let f(x, y) = √3x2 + e3y.

(a) Find the total differential of f. 

(b) Find the directional derivative of f at the point (1,1) in the direction of v = i + j.

(c) Find the linearization of f at (1,0). Then use it to approximate f(1.2,-0.2). 

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