d/(dt)((x)(pi-t))

解答

\frac{d}{d t} ((x) (π - t))

\frac{d x}{d t} (π - t) - x

求解步骤

\frac{d}{d t} ((x) (π - t))

使用微分乘法定则:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = π - t

= \frac{d x}{d t} (π - t) + \frac{d}{d t} (π - t) x

\frac{d}{d t} (π - t) = - 1

= \frac{d x}{d t} (π - t) + (- 1) x

化简

= \frac{d x}{d t} (π - t) - x

e x p an d \frac{( - 2 x + 7 ) ( x + 1 )}{x - 3}

e x p an d 3 ((x - 3) (x + 2) (x - 4))

e x p an d \frac{( - 6 + n ) ( 6 + n )}{4}

e x p an d t esc a l o n (t - 1)

e x p an d - 9 (2 π + (π))