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人気のある微分積分 >

d/(dy)(sin(xy^2))

解

\frac{d}{d y} (sin (x y^{2}))

解

cos (x y^{2}) \cdot 2 x y

解答ステップ

\frac{d}{d y} (sin (x y^{2}))

x

を定数として扱う

連鎖法則を適用:

cos (x y^{2}) \frac{d}{d y} (x y^{2})

= cos (x y^{2}) \frac{d}{d y} (x y^{2})

\frac{d}{d y} (x y^{2}) = 2 x y

= cos (x y^{2}) \cdot 2 x y

人気の例

integral of 6sin(2x)+sec^2(x)

\int 6 sin (2 x) + sec^{2} (x) d x

integral of e^{13x}(13)

\int e^{13 x} (13) d x

integral of 16cos^2(t)

\int 16 cos^{2} (t) d t

limit as x approaches 3 of x/(3-x)

x \to 3 lim (\frac{x}{3 - x})

f (x) = 5 x - 3