What is the derivative of arccot(15y) ?

The derivative of arccot(15y) is -(15)/(225y^2+1)

What is the first derivative of arccot(15y) ?

The first derivative of arccot(15y) is -(15)/(225y^2+1)

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derivative of

arccot (15 y)

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

Solution steps

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

Apply the chain rule:

- \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

Simplify

- \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

What is the derivative of arccot(15y) ?
The derivative of arccot(15y) is -(15)/(225y^2+1)
What is the first derivative of arccot(15y) ?
The first derivative of arccot(15y) is -(15)/(225y^2+1)