Find stationary points and decide their nature

Question 1

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

x = 

Question 2

y = x³ + 3x² − 9x has a stationary point at x = −3. Is it a maximum or a minimum?

• A. Maximum
• B. Minimum

Question 3

Use calculus to find the stationary point of y = x² − 7. Type it like (2, −1).

Answer 

Question 4

Find the x-coordinates of the stationary points of y = x³ − 6x² + 9x − 5. Separate them with a comma.

x = 

Question 5

y = x³ − 12x² + 36x has a stationary point at x = 6. Is it a maximum or a minimum?

• A. Maximum
• B. Minimum

Question 6

Use calculus to find the stationary point of y = −x² − 6x − 12. Type it like (2, −1).

Answer 

Question 7

Find the x-coordinates of the stationary points of y = x³ − 3x² − 24x + 4. Separate them with a comma.

x = 

Question 8

y = −x³ − 9x² − 24x has a stationary point at x = −4. Is it a maximum or a minimum?

• A. Maximum
• B. Minimum

Question 9

Use calculus to find the stationary point of y = −2x² + 20x − 56. Type it like (2, −1).

Answer 

Question 10

Find the x-coordinates of the stationary points of y = x³ + 6x² + 4. Separate them with a comma.

x = 

Question 11

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

• A. Maximum
• B. Minimum

Question 12

Use calculus to find the stationary point of y = 2x² + 16x + 35. Type it like (2, −1).

Answer 

Question 13

Find the x-coordinates of the stationary points of y = x³ − 15x² + 63x − 3. Separate them with a comma.

x = 

Question 14

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

• A. Maximum
• B. Minimum

Question 15

Use calculus to find the stationary point of y = −2x² + 4x − 9. Type it like (2, −1).

Answer 

Question 16

Find the x-coordinates of the stationary points of y = x³ + 3x² − 9x − 7. Separate them with a comma.

x =