derivative 576pi-4pi^3x^2+4pix^2

解

導関数

576 π - 4 π^{3} x^{2} + 4 π x^{2}

8 π x - 8 π^{3} x

解答ステップ

\frac{d}{d x} (576 π - 4 π^{3} x^{2} + 4 π x^{2})

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (576 π) - \frac{d}{d x} (4 π^{3} x^{2}) + \frac{d}{d x} (4 π x^{2})

\frac{d}{d x} (576 π) = 0

\frac{d}{d x} (4 π^{3} x^{2}) = 8 π^{3} x

\frac{d}{d x} (4 π x^{2}) = 8 π x

= 0 - 8 π^{3} x + 8 π x

簡素化

= 8 π x - 8 π^{3} x