derivative of 4x^4-3x^3-30

解

\frac{d}{d x} (4 x^{4} - 3 x^{3} - 30)

16 x^{3} - 9 x^{2}

解答ステップ

\frac{d}{d x} (4 x^{4} - 3 x^{3} - 30)

和/差の法則を適用:

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

= \frac{d}{d x} (4 x^{4}) - \frac{d}{d x} (3 x^{3}) - \frac{d}{d x} (30)

\frac{d}{d x} (4 x^{4}) = 16 x^{3}

\frac{d}{d x} (3 x^{3}) = 9 x^{2}

\frac{d}{d x} (30) = 0

= 16 x^{3} - 9 x^{2} - 0

簡素化

= 16 x^{3} - 9 x^{2}