derivative y=xsin(x)+2

解答

导数

y = x sin (x) + 2

x cos (x) + sin (x)

求解步骤

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

使用微分加减法定则:

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

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

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

\frac{d}{d x} (2) = 0

= sin (x) + x cos (x) + 0

化简

= x cos (x) + sin (x)

x^{^{''}} - x^{^{'}} - 6 x = 6 e^{3 t} + 2 e^{- 2 t}

\int e^{k t} d t

\frac{\partial}{\partial x} ((5 x^{3} y + 4 y^{5})^{3})

l a pl a ce t r an s f or m sin^{2} (6 t)

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