derivative 2sin(x)+sin^2(x)

解答

导数

2 sin (x) + sin^{2} (x)

2 cos (x) + sin (2 x)

求解步骤

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

使用微分加减法定则:

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

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

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

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

= 2 cos (x) + sin (2 x)

\frac{\partial}{\partial t} (y + x cos (t))

\int 9 x^{2} d x

d er i v a t i v e y = (2 tan^{2} (2 x) - 1)^{\frac{1}{2}}

\frac{\partial}{\partial x} (x (1 - x - 2 y))

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