y = x ^ (arctan(x)) find d/dx (y)

asked by guest
on Oct 08, 2024 at 8:00 am



You asked:

Find the derivative of \(x^{\operatorname{atan}{\left(x \right)}}\) with respect to \(x\).

MathBot Answer:

\[\frac{d}{d x} y{\left(x \right)} = x^{\arctan{\left(x \right)}} \left(\frac{\log{\left(x \right)}}{x^{2} + 1} + \frac{\arctan{\left(x \right)}}{x}\right)\]