What is the differentiation of sec (x^3)?

Answer 1

To find the derivative of y = sec (x³), we must use the Chain Rule and the identity

^d/_du sec u = sec u tan u

Here, u = x³ and ^du/_dx = 3x². Therefore, by the Chain Rule

^dy/_dx = 3x² sec (x³) tan (x³).

Answer 2

(d/dx)(secx³) = = 3x² tanx³ secx³

The 3x² comes from the chain rule.