1. The problem statement, all variables and given/known data Compute Derivative y = xx + sin(x) 2. Relevant equations 3. The attempt at a solution since I have x in the exponent (x^x), I multiply both sides by ln: ln y = ln xx + ln sin(x) the x in the exponent comes out into the front, right? y'/y = x ln x + ln sin (x) using product rule for xlnx: y'/y= ((1⋅ln x) + (x) (1/x)) + 1/sin(x) ⋅ cos(x) y'/y = [(ln x +1) + cos(x)/sin(x)] multiplying both sides by y to get y' only y' = [(ln x +1) + cos(x)/sin(x)] ⋅ xx + sin(x) is this correct? or should the ln xx = Xx ⋅ ln x ???