Part A) Find all Relative Extrema and show work and Part B) Find all Critical Numbers and show work Solution As for all real x, (x+1)^2 is always positive => -1/(x+1)^2 is always negative dy/dx = -ve means the function y = f(x) decreases continuously similarly, dy/dx = +ve means the function y = f(x) increases continuously in this case it is always negative therefore the value of function decreases continuously from -infinity to +infinity => no extrema.