(\partial)/(\partial x)((5x-x^2)cos(t))

解答

\frac{\partial}{\partial x} ((5 x - x^{2}) cos (t))

cos (t) (5 - 2 x)

求解步骤

\frac{\partial}{\partial x} ((5 x - x^{2}) cos (t))

将

t

视为常数

将常数提出:

(a \cdot f)^{'} = a \cdot f^{'}

= cos (t) \frac{\partial}{\partial x} (5 x - x^{2})

使用微分加减法定则:

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

= cos (t) (\frac{\partial}{\partial x} (5 x) - \frac{\partial}{\partial x} (x^{2}))

\frac{\partial}{\partial x} (5 x) = 5

\frac{\partial}{\partial x} (x^{2}) = 2 x

= cos (t) (5 - 2 x)

in v erse l a pl a ce Y (s) = \frac{s - 2}{s ^{2} - 2 s - 3}

t an g e n t f (x) = - 3 x^{2} + x + 2, at x = 1

\frac{\partial}{\partial x} (\frac{p}{1 + e ^{c o s (x)}})

\int \frac{3 x + 4}{2 x + x ^{2}} d x

\int 3 x - 1 d x