Find stationary points and decide their nature

Question 1

Use calculus to find the stationary point of y = 2x² − 4x − 5. Type it like (2, −1).

Answer 

Question 2

Find the x-coordinates of the stationary points of y = x³ − 6x² + 8. Separate them with a comma.

x = 

Question 3

y = x³ − 9x² + 15x has a stationary point at x = 1. Is it a maximum or a minimum?

• A. Maximum
• B. Minimum

Question 4

Use calculus to find the stationary point of y = 2x² + 12x + 13. Type it like (2, −1).

Answer 

Question 5

Find the x-coordinates of the stationary points of y = x³ − 6x² − 3. Separate them with a comma.

x = 

Question 6

y = −x³ + 3x² + 24x has a stationary point at x = −2. Is it a maximum or a minimum?

• A. Maximum
• B. Minimum

Question 7

Use calculus to find the stationary point of y = −x² − 4x + 1. Type it like (2, −1).

Answer 

Question 8

Find the x-coordinates of the stationary points of y = x³ + 6x² + 9x. Separate them with a comma.

x = 

Question 9

y = x³ − 3x has a stationary point at x = −1. Is it a maximum or a minimum?

• A. Maximum
• B. Minimum

Question 10

Use calculus to find the stationary point of y = x² + 6x + 14. Type it like (2, −1).

Answer 

Question 11

Find the x-coordinates of the stationary points of y = x³ + 6x² + 6. Separate them with a comma.

x = 

Question 12

y = x³ + 3x² has a stationary point at x = 0. Is it a maximum or a minimum?

• A. Maximum
• B. Minimum

Question 13

Use calculus to find the stationary point of y = 3x² − 24x + 48. Type it like (2, −1).

Answer 

Question 14

Find the x-coordinates of the stationary points of y = x³ − 3x² − 24x + 3. Separate them with a comma.

x = 

Question 15

y = −x³ − 3x² + 24x has a stationary point at x = −4. Is it a maximum or a minimum?

• A. Maximum
• B. Minimum

Question 16

Use calculus to find the stationary point of y = 3x² − 6x + 6. Type it like (2, −1).

Answer