1. The problem statement, all variables and given/known data hey Forum! I had a question here I'm struggling with and was wondering if someone could take a look. its Dealing with calculus, specifically derivatives and behaviors of the graph: http://i41.tinypic.com/mc6opj.jpg I just started and part a) already has me stumped D: 3. The attempt at a solution for intervals of increase or decrease I know we must equate the first derivative to zero. f(x) = x^3 – x^2 + 4x – 3 f’(x) = 3x^2 – 2x + 4 f’’(x) = 6x – 2 so: f’(x) = 3x^2 – 2x + 4 0 = 3x^2 – 2x + 4 however I couldn't factor this.. and when I tried to use the quadratic formula.. I got a negative discriminant. From what I gather this means the derivative has no real roots.. However the actual graph of the original function crosses the x axis just before 1.. I'm confused! how do I calculate this? any advice would be wicked!