derivative of 6x^7-2x^5+2

解答

\frac{d}{d x} (6 x^{7} - 2 x^{5} + 2)

42 x^{6} - 10 x^{4}

求解步骤

\frac{d}{d x} (6 x^{7} - 2 x^{5} + 2)

使用微分加减法定则:

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

= \frac{d}{d x} (6 x^{7}) - \frac{d}{d x} (2 x^{5}) + \frac{d}{d x} (2)

\frac{d}{d x} (6 x^{7}) = 42 x^{6}

\frac{d}{d x} (2 x^{5}) = 10 x^{4}

\frac{d}{d x} (2) = 0

= 42 x^{6} - 10 x^{4} + 0

化简

= 42 x^{6} - 10 x^{4}

s im pl i f y \frac{6}{3 x}

n = 0 \sum \infty n e^{- n}

d er i v a t i v e - 1 cos (t)

\int_{0}^{1} x (x^{2} + 1) d x

\int - t t - 1 d t