Point of Inflexion

2012-10-19 6:16 am
Is (0,0) a point of inflexion of the curve y = x^4? Please prove.

回答 (1)

2012-10-19 6:25 am
✔ 最佳答案
y = x⁴
y' = 4x³
y" = 12x²

When x = 0 :
y = (0)⁴ = 0
y' = 4(0)³ = 0
y" = 12(0)² = 0

At point (0, 0), y' = 0 and y" = 0
Hence, (0, 0) is a point of inflexion.
參考: 胡雪


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