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人気のある微分積分 >

(\partial)/(\partial y)(4y^2-20)

解

\frac{\partial}{\partial y} (4 y^{2} - 20)

解

8 y

解答ステップ

\frac{\partial}{\partial y} (4 y^{2} - 20)

和/差の法則を適用:

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

= \frac{\partial}{\partial y} (4 y^{2}) - \frac{\partial}{\partial y} (20)

\frac{\partial}{\partial y} (4 y^{2}) = 8 y

\frac{\partial}{\partial y} (20) = 0

= 8 y - 0

簡素化

= 8 y

人気の例

derivative f(x)=8ln(x)-x^2

d er i v a t i v e f (x) = 8 ln (x) - x^{2}

(dy)/(dx)=10-2y

\frac{d y}{d x} = 10 - 2 y

derivative of sin(x^8)

\frac{d}{d x} (sin (x^{8}))

(\partial)/(\partial x)(2k^4+x+64)

\frac{\partial}{\partial x} (2 k^{4} + x + 64)

inverselaplace (e^{-s})/(s+1)

in v erse l a pl a ce \frac{e ^{- s}}{s + 1}