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人気のある微分積分 >

d/(dy)(cos(x^2y))

解

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

解

- sin (x^{2} y) x^{2}

解答ステップ

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

x

を定数として扱う

連鎖法則を適用:

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

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

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

= - sin (x^{2} y) x^{2}

人気の例

sum from n=2 to infinity of (ln^2(n))/n

n = 2 \sum \infty \frac{ln ^{2} ( n )}{n}

integral from 0 to x of sqrt(2/(1+t))

\int_{0}^{x} \frac{2}{1 + t} d t

derivative of cos^3(5x+1)

\frac{d}{d x} (cos^{3} (5 x + 1))

y^{''}+4y=-6,y(pi/8)=-12,y^'(pi/8)=2

y^{^{''}} + 4 y = - 6, y (\frac{π}{8}) = - 12, y^{^{'}} (\frac{π}{8}) = 2

derivative of (x-1e^{-x})

\frac{d}{d x} ((x - 1) e^{- x})