APM2613
ASSIGNMENT 1
2023
, QUESTION 1
Solution:
𝑓(𝑥) = 𝑥 3 − 2𝑥 + 1
𝑓 ′ (𝑥) = 3𝑥 2 − 2
𝑓 ′′ (𝑥) = 6𝑥
𝐶𝑟𝑖𝑡𝑖𝑐𝑎𝑙 𝑝𝑜𝑖𝑛𝑡𝑠: 𝑓 ′ (𝑥) = 0
𝑓 ′ (𝑥) = 0
3𝑥 2 − 2 = 0
ASSIGNMENT 1
2023
, QUESTION 1
Solution:
𝑓(𝑥) = 𝑥 3 − 2𝑥 + 1
𝑓 ′ (𝑥) = 3𝑥 2 − 2
𝑓 ′′ (𝑥) = 6𝑥
𝐶𝑟𝑖𝑡𝑖𝑐𝑎𝑙 𝑝𝑜𝑖𝑛𝑡𝑠: 𝑓 ′ (𝑥) = 0
𝑓 ′ (𝑥) = 0
3𝑥 2 − 2 = 0