derivative of 16-1/625 x^2

解

\frac{d}{d x} (16 - \frac{1}{625} x^{2})

- \frac{2 x}{625}

解答ステップ

\frac{d}{d x} (16 - \frac{1}{625} x^{2})

簡素化

16 - \frac{1}{625} x^{2} : 16 - \frac{x ^{2}}{625}

= \frac{d}{d x} (16 - \frac{x ^{2}}{625})

和/差の法則を適用:

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

= \frac{d}{d x} (16) - \frac{d}{d x} (\frac{x ^{2}}{625})

\frac{d}{d x} (16) = 0

\frac{d}{d x} (\frac{x ^{2}}{625}) = \frac{2 x}{625}

= 0 - \frac{2 x}{625}

簡素化

= - \frac{2 x}{625}