d/(dt)((t^4)/4)

解答

\frac{d}{d t} (\frac{t ^{4}}{4})

t^{3}

求解步骤

\frac{d}{d t} (\frac{t ^{4}}{4})

将常数提出:

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

= \frac{1}{4} \frac{d}{d t} (t^{4})

使用幂法则:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{1}{4} \cdot 4 t^{4 - 1}

化简

\frac{1}{4} \cdot 4 t^{4 - 1} : t^{3}

= t^{3}

\frac{d}{d x} (x^{- \frac{2}{5}})

y^{^{''}} + 529 y = sec (23 x)

\frac{d}{d x} (2 cos (- 6 x))

\int_{0}^{π} cos^{4} (x) d x

\frac{d}{d x} (1 - sin (x) cos (x))