derivative of 6sec(x^2)

解

\frac{d}{d x} (6 sec (x^{2}))

12 x sec (x^{2}) tan (x^{2})

解答ステップ

\frac{d}{d x} (6 sec (x^{2}))

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

= 6 \frac{d}{d x} (sec (x^{2}))

連鎖法則を適用:

sec (x^{2}) tan (x^{2}) \frac{d}{d x} (x^{2})

= sec (x^{2}) tan (x^{2}) \frac{d}{d x} (x^{2})

\frac{d}{d x} (x^{2}) = 2 x

= 6 sec (x^{2}) tan (x^{2}) \cdot 2 x

簡素化

= 12 x sec (x^{2}) tan (x^{2})