derivative of cos(2x-sin(x))

解答

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

- sin (2 x) \cdot 2 - cos (x)

求解步骤

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

使用微分加减法定则:

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

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

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

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

= - sin (2 x) \cdot 2 - cos (x)

\int_{1}^{16} \frac{x - 7}{x} d x

\int_{1}^{e^{5}} \frac{ln ^{3} ( x ^{2} )}{x} d x

\int x^{- \frac{1}{4}} 1 + x^{\frac{1}{4}} d x

\frac{\partial}{\partial x} (5 x cos (x y))

\frac{\partial}{\partial x} (- h k^{2} + k^{4})