What is the derivative of arctan(u) ?

The derivative of arctan(u) is 1/(u^2+1)

What is the first derivative of arctan(u) ?

The first derivative of arctan(u) is 1/(u^2+1)

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derivative of

arctan (u)

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

Solution steps

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

Apply the common derivative:

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

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

What is the derivative of arctan(u) ?
The derivative of arctan(u) is 1/(u^2+1)
What is the first derivative of arctan(u) ?
The first derivative of arctan(u) is 1/(u^2+1)