Week Six Multivafiable Calculus 2

Question 1

Critical points ( classification )
If H is positive
and
partial derivative^2 is negative then

Answer 1

Then it is a maximum

Question 2

Critical points ( classification )
If H is positive
and
partial derivative^2 is positive then

Answer 2

Then it is a minimum

Question 3

Critical points ( classification )
If H is negative
and
partial derivative^2 is negative and positive

Answer 3

Then it is a Saddle

Question 4

What are Lagrange multipliers used for

Answer 4

• finding the maxima and minima subject to constraints
  And
• finding absolute maxima and minima with less work usually