What is the d/(dy)(arctan(y)) ?

The d/(dy)(arctan(y)) is 1/(y^2+1)

What is the first d/(dy)(arctan(y)) ?

The first d/(dy)(arctan(y)) is 1/(y^2+1)

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\frac{d}{d y} (arctan (y))

\frac{1}{y ^{2} + 1}

Solution steps

\frac{d}{d y} (arctan (y))

Apply the common derivative:

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

= \frac{1}{y ^{2} + 1}