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人気のある微分積分 >

(\partial)/(\partial x)(-9x^2-7y^2)

解

\frac{\partial}{\partial x} (- 9 x^{2} - 7 y^{2})

解

- 18 x

解答ステップ

\frac{\partial}{\partial x} (- 9 x^{2} - 7 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} (9 x^{2}) - \frac{\partial}{\partial x} (7 y^{2})

\frac{\partial}{\partial x} (9 x^{2}) = 18 x

\frac{\partial}{\partial x} (7 y^{2}) = 0

= - 18 x - 0

簡素化

= - 18 x

人気の例

y^{''}+169y=sec(13x)

y^{^{''}} + 169 y = sec (13 x)

integral of (16x^2)/((x-21)(x+7)^2)

\int \frac{16 x ^{2}}{( x - 21 ) ( x + 7 ) ^{2}} d x

(\partial)/(\partial x)((2x)/(x^2+y-5))

\frac{\partial}{\partial x} (\frac{2 x}{x ^{2} + y - 5})

(dy)/(dx)=b*(1-y)*y

\frac{d y}{d x} = b \cdot (1 - y) \cdot y

integral from 0 to pi/3 of sin^2(x)

\int_{0}^{\frac{π}{3}} sin^{2} (x) d x