Graph of Derivatives
Using the function f(x)=sin(x), what are the slopes at x=-1.5 and x=1.5? How do they compare to f'(x)? Hint. Show f'(x).
Now try another familiar function such as f(x)=x^2. Describe the behavior of f'(x).
From the previous two tasks, what relation does f(x) have with f'(x)