Week 5 and 6 (multi variable calculas)

Question 1

Critical points

Answer 1

grad f = 0
H = hessiun matrix

det (H) =

det(H) > 0
max or min, look at double derivative

det(H) < 0
It is a saddle point

Question 2

Lagrange multipliers

Answer 2

USE:

grad f = lambda grad g
the constraint of g

Question 3

paratimisation of curves

Answer 3

split into x(t) …