For the function f(x)=xarctan(x)f(x) = x^{\arctan(x)}f(x)=xarctan(x), determine the slope of the tangent line at x=1x=1x=1.
π8+ln(1)=π8\frac{\pi}{8} + \ln(1) = \frac{\pi}{8}8π+ln(1)=8π
π8+1\frac{\pi}{8} + 18π+1
π8\frac{\pi}{8}8π
π4\frac{\pi}{4}4π