derivative y=e^4x^2+18

解答

导数

y = e^{4} x^{2} + 18

2 e^{4} x

求解步骤

\frac{d}{d x} (e^{4} x^{2} + 18)

使用微分加减法定则:

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

= \frac{d}{d x} (e^{4} x^{2}) + \frac{d}{d x} (18)

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

\frac{d}{d x} (18) = 0

= 2 e^{4} x + 0

化简

= 2 e^{4} x

d er i v a t i v e f (x) = (\frac{8 x + 7}{9 x ^{2} + 6})

a re a y = cos (x), y = sin (x)

a re a 7 e^{x}, 7 x e^{x^{2}}, [0, 1]

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

n = 1 \sum \infty \frac{5}{2 ^{n - 1}}