d/(dt)((x)(8t))

解答

\frac{d}{d t} ((x) (8 t))

8 (t \frac{d x}{d t} + x)

求解步骤

\frac{d}{d t} ((x) (8 t))

将常数提出:

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

= 8 \frac{d}{d t} (x t)

使用微分乘法定则:

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

f = x, g = t

= 8 (\frac{d x}{d t} t + \frac{d t}{d t} x)

\frac{d t}{d t} = 1

= 8 (\frac{d x}{d t} t + 1 \cdot x)

化简

= 8 (t \frac{d x}{d t} + x)

f a c t or f (2) \frac{d}{d x} (x^{3} + 1)

f (x) = (sec (x))^{2} - 2 tan (x)

\frac{d}{d x} ((f (x)) (ln (x y)))

f a c t or x 2 - 7 x + 18

f a c t or (30 + 5)^{2}