3. Let g(x,y)=x^{2}+y^{3}.

(a) Find the directional derivative of g at the point (−3, 2) in the direction (3, 5).

(b) Determine the tangent line to the curve g(x, y) = g(4, −2) at the point (4, −2).

(c) Find the tangent plane to the surface z = g(x, y) at the point (−1, 1, 2).

(d) What is the minimum of g along the curve x^{2}+ y^{2 }= 4/9?

Hey there! Looking for help on part (d) but don't know if the other information is relevant so I just posted the whole question.

Any help is appreciated!

- Maedbh