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人気のある微分積分 >

(\partial)/(\partial x)(6x^2-4xy^2)

解

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

解

12 x - 4 y^{2}

解答ステップ

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

\frac{\partial}{\partial x} (6 x^{2}) = 12 x

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

= 12 x - 4 y^{2}

人気の例

derivative f(-1)=(x+3)/2

d er i v a t i v e f (- 1) = \frac{x + 3}{2}

(\partial)/(\partial x)(ln(1-x-y)-x^{-1}-y^{-1})

\frac{\partial}{\partial x} (ln (1 - x - y) - x^{- 1} - y^{- 1})

derivative f(x)=e^{-5x}

d er i v a t i v e f (x) = e^{- 5 x}

derivative y=sqrt(x+10)

d er i v a t i v e y = x + 10

inverselaplace ((5))/(s^2-9)

in v erse l a pl a ce \frac{( 5 )}{s ^{2} - 9}