(\partial)/(\partial s)((w)(2(r^2+s^2)))

解答

\frac{\partial}{\partial s} ((w) (2 (r^{2} + s^{2})))

4 w s

求解步骤

\frac{\partial}{\partial s} ((w) (2 (r^{2} + s^{2})))

将

w, r

视为常数

将常数提出:

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

= w \cdot 2 \frac{\partial}{\partial s} (r^{2} + s^{2})

使用微分加减法定则:

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

= w \cdot 2 (\frac{\partial}{\partial s} (r^{2}) + \frac{\partial}{\partial s} (s^{2}))

\frac{\partial}{\partial s} (r^{2}) = 0

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

= w \cdot 2 (0 + 2 s)

化简

= 4 w s

e x p an d \frac{( e ^{(a t)} + e ^{(- a t)} ) \cdot e ^{(- s t)}}{2}

s im pl i f y i (x - i y)^{2}

e x p an d \frac{8}{( x - 1 ) ( x + 1 ) ( x + 3 )}

e x p an d \frac{18 s ^{2}}{( s + 1 ) ( s + 4 )}

e x p an d A (- 2, - 3) y B (2, 2)