d/(dy)(4y^2)

解答

\frac{d}{d y} (4 y^{2})

8 y

求解步骤

\frac{d}{d y} (4 y^{2})

将常数提出:

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

= 4 \frac{d}{d y} (y^{2})

使用幂法则:

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

= 4 \cdot 2 y^{2 - 1}

化简

= 8 y

ma c l a u r in ln (x + x^{2} - 1)

\frac{d}{d x} (6 x + 6 x^{2})

\frac{d v}{d t} = 0.025 \cdot 7 - \frac{v}{2000}, v (0) = 100

\int_{4}^{10} 0.13 x d x

\int 7 - x d x