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人気のある微分積分 >

(\partial)/(\partial x)(4xy+6y^2)

解

\frac{\partial}{\partial x} (4 x y + 6 y^{2})

解

4 y

解答ステップ

\frac{\partial}{\partial x} (4 x y + 6 y^{2})

y

を定数として扱う

和/差の法則を適用:

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

= \frac{\partial}{\partial x} (4 x y) + \frac{\partial}{\partial x} (6 y^{2})

\frac{\partial}{\partial x} (4 x y) = 4 y

\frac{\partial}{\partial x} (6 y^{2}) = 0

= 4 y + 0

簡素化

= 4 y

人気の例

tangent f(x)=(x-1)^3,\at x=2

t an g e n t f (x) = (x - 1)^{3}, at x = 2

integral of 1/(sqrt(x)(2a-x))

\int \frac{1}{x ( 2 a - x )} d x

integral from 1 to ln(3) of 1/x

\int_{1}^{l n (3)} \frac{1}{x} d x

derivative of sqrt(2x^3-4x-8x+6)

\frac{d}{d x} (2 x^{3} - 4 x - 8 x + 6)

inverselaplace 1/(s^2)(1-e^{-5s})

in v erse l a pl a ce \frac{1}{s ^{2}} (1 - e^{- 5 s})