For all the problems below, please make sure you write out steps that show full understanding. 1. We know that the first derivative of a function, y=f(x), is defined as f(x)=limx0xf(x+x)f(x) And in Wednesday's lecture, we learned the concept of increasing/decreasing functions, and that, if x>0, then f(x)>0 implies f(x) is increasing at x; similarly, f(x)0 ) using the limit definition above by plugging in x=0.01