derivative cos(x)+sin(x)

解答

导数

cos (x) + sin (x)

- sin (x) + cos (x)

求解步骤

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

使用微分加减法定则:

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

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

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

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

= - sin (x) + cos (x)

\int_{0}^{k} \frac{1}{x ^{2} + 1} d x

\int \frac{e ^{2 x}}{2} d x

n = 0 \sum \infty \frac{n ^{3}}{n !}

e^{x} y \frac{d y}{d x} = e^{- y} + e^{- 7 x - y}

\frac{d}{d x} (\frac{- 2 x}{( x ^{2} - 1 ) ^{2}})