What is the derivative of y=arctan(x) ?

The derivative of y=arctan(x) is 1/(x^2+1)

What is the first derivative of y=arctan(x) ?

The first derivative of y=arctan(x) is 1/(x^2+1)

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derivative

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

Solution steps

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

Apply the common derivative:

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

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

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