derivative arccot(15y)

解答

导数

arccot (15 y)

- \frac{15}{225 y ^{2} + 1}

求解步骤

\frac{d}{d y} (arccot (15 y))

使用连锁律:

- \frac{1}{( 15 y ) ^{2} + 1} \frac{d}{d y} (15 y)

= - \frac{1}{( 15 y ) ^{2} + 1} \frac{d}{d y} (15 y)

\frac{d}{d y} (15 y) = 15

= - \frac{1}{( 15 y ) ^{2} + 1} \cdot 15

化简

- \frac{1}{( 15 y ) ^{2} + 1} \cdot 15 : - \frac{15}{225 y ^{2} + 1}

= - \frac{15}{225 y ^{2} + 1}

\frac{d}{d x} (\frac{3 x}{2})

x^{2} y^{^{'}} + 2 x y = 13 cos^{2} (x)

y^{^{'}} + 3 x^{2} y = 6 x^{2}

\int - cot (2 x) d x

\int x (a - x)^{2} d x