derivative 2sin(x)cos(x)

解答

导数

2 sin (x) cos (x)

cos (2 x) \cdot 2

求解步骤

\frac{d}{d x} (2 sin (x) cos (x))

化简

2 sin (x) cos (x) : sin (2 x)

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

使用连锁律:

cos (2 x) \frac{d}{d x} (2 x)

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

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

= cos (2 x) \cdot 2

\frac{d y}{d x} = y, y (7) = 8

d er i v a t i v e \frac{( e ^{\frac{b}{x}} )}{( e ^{\frac{b}{x}} - 1 )}

\frac{d}{d x} ((x^{2} sin (x))^{5})

\int \frac{e ^{x}}{x + 1} d x

\int_{- 2}^{1} \frac{1}{x ^{4}} d x