derivative 6x^4-3

解答

导数

6 x^{4} - 3

24 x^{3}

求解步骤

\frac{d}{d x} (6 x^{4} - 3)

使用微分加减法定则:

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

= \frac{d}{d x} (6 x^{4}) - \frac{d}{d x} (3)

\frac{d}{d x} (6 x^{4}) = 24 x^{3}

\frac{d}{d x} (3) = 0

= 24 x^{3} - 0

化简

= 24 x^{3}

\int x^{4} (x^{5} - 4)^{8} d x

f (x) = \frac{3}{3 x + 1}

\frac{d}{d x} (\frac{x ^{5} + 2 x + 6}{x ^{\frac{1}{3}}})

d er i v a t i v e f (x) = cos (5 x^{2})

\int (y - 1)^{2} d y