Lecture 13 (Calculus) Monotonic Function, Concavity, and Optimization

If f'(x) > 0 throughout an interval I, then on I the function f is:

1. A.increasing, since any two inputs satisfy x₁ < x₂ ⇒ f(x₁) < f(x₂)
2. B.concave up, since the second derivative is positive there
3. C.decreasing, since the slope is changing positively
4. D.constant, since the derivative does not vanish