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人気のある微分積分 >

derivative of (3xy+7^2)

解

\frac{d}{d x} ((3 x y + 7)^{2})

解

6 (3 x y + 7) (x \frac{d y}{d x} + y)

解答ステップ

\frac{d}{d x} ((3 x y + 7)^{2})

連鎖法則を適用:

2 (3 x y + 7) \frac{d}{d x} (3 x y + 7)

= 2 (3 x y + 7) \frac{d}{d x} (3 x y + 7)

\frac{d}{d x} (3 x y + 7) = 3 (x \frac{d y}{d x} + y)

= 2 (3 x y + 7) \cdot 3 (x \frac{d y}{d x} + y)

簡素化

= 6 (3 x y + 7) (x \frac{d y}{d x} + y)

人気の例

integral of x^2ln(x^4)

\int x^{2} ln (x^{4}) d x

derivative of (sin(x)^4)

\frac{d}{d x} ((sin (x))^{4})

derivative of cos(10x)

\frac{d}{d x} (cos (10 x))

xy^'+y^'-(x+1)cos(x)+y=0

x y^{^{'}} + y^{^{'}} - (x + 1) cos (x) + y = 0

(dx)/(dt)=5x(9-x)

\frac{d x}{d t} = 5 x (9 - x)