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人気のある微分積分 >

d/(dy)(sqrt(4-y^2))

解

\frac{d}{d y} (4 - y^{2})

解

- \frac{y}{4 - y ^{2}}

解答ステップ

\frac{d}{d y} (4 - y^{2})

連鎖法則を適用:

\frac{1}{2 4 - y ^{2}} \frac{d}{d y} (4 - y^{2})

= \frac{1}{2 4 - y ^{2}} \frac{d}{d y} (4 - y^{2})

\frac{d}{d y} (4 - y^{2}) = - 2 y

= \frac{1}{2 4 - y ^{2}} (- 2 y)

簡素化

\frac{1}{2 4 - y ^{2}} (- 2 y) : - \frac{y}{4 - y ^{2}}

= - \frac{y}{4 - y ^{2}}

グラフ

人気の例

integral from-7 to 0 of (4+sqrt(49-x^2))

\int_{- 7}^{0} (4 + 49 - x^{2}) d x

integral of (2x^2+5x+2)/((x^2+1)^2)

\int \frac{2 x ^{2} + 5 x + 2}{( x ^{2} + 1 ) ^{2}} d x

integral of (sqrt(25-16x^2))/x

\int \frac{25 - 16 x ^{2}}{x} d x

integral of 1/(sqrt(1-v^2))

\int \frac{1}{1 - v ^{2}} d v

integral of 1/(x^3(sqrt((x^2-9))))

\int \frac{1}{x ^{3} ( ( x ^{2} - 9 ) )} d x