Local maximum, minimum and saddle points Quiz: printable

Local maximum, minimum and saddle points Quiz

Name: ______________________ Date: __________ Score: ____ / 10

10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-3/local-maximum-minimum-and-saddle-points/quiz/

1
Local max and min of f(x, y) = x² + y² − 4x + 6y
Answer: ____________________
2
Local max and min of f(x, y) = 4 − x² − y²
Answer: ____________________
3
Local max and min of f(x, y) = 2x² + y² − 8x
Answer: ____________________
4
Local max and min of f(x, y) = x² + 3y² − 6x + 6y
Answer: ____________________
5
Critical points of f(x, y) = x² + 4xy + y²
Answer: ____________________
6
Critical points of f(x, y) = xy
Answer: ____________________
7
Classify the critical points of f(x, y) = x² + xy + y² − 6y
Answer: ____________________
8
Critical points of f(x, y) = y³ − 3y + x²
Answer: ____________________
9
Critical points of f(x, y) = x³ + y³ − 3x − 12y
Answer: ____________________
10
Classify the critical points of f(x, y) = x² − 2xy + 3y² − 4x
Answer: ____________________

(2, −3)
(0, 0)
(2, 0)
(3, −1)
(0, 0)
(0, 0)
(−2, 4)
(0, 1), (0, −1)
(1, 2), (1, −2), (−1, 2), (−1, −2)
(3, 1)

Every answer solved step by step: steplyclass.com/calculus-3/local-maximum-minimum-and-saddle-points/quiz/answers/