d/(dt)(2t(n/4)+c)

解答

\frac{d}{d t} (2 t (\frac{n}{4}) + c)

\frac{n}{2}

求解步骤

\frac{d}{d t} (2 t (\frac{n}{4}) + c)

化简

2 t (\frac{n}{4}) + c : \frac{n t}{2} + c

= \frac{d}{d t} (\frac{n t}{2} + c)

使用微分加减法定则:

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

= \frac{d}{d t} (\frac{n t}{2}) + \frac{d c}{d t}

\frac{d}{d t} (\frac{n t}{2}) = \frac{n}{2}

\frac{d c}{d t} = 0

= \frac{n}{2} + 0

化简

= \frac{n}{2}

d er i v a t i v e ln (tan (\frac{x}{2}))

d er i v a t i v e 4 e^{2} x

d er i v a t i v e \frac{( x ^{2} )}{10}

\frac{d}{d q} ((1 + sec (q)) sin (q))

\frac{d}{d r} (\frac{g \cdot ( m _{1} \cdot m _{2} )}{( r ^{2} )})