1. The problem statement, all variables and given/known data prove that if f is continuously differentiable on a closed interval E, then f is Lipschitz continuous on E. 3. The attempt at a solution so I'm letting E be [a,b] I'm using the mean value theorem to show secant from a->b = some value, then I'm saying if I subtract epsilon from b over and over, the mean value theorem will still be valid because its continuously differentiable. So in the end I will have secant from any x to y is some value and therefore the entire function is lipschitz continuous. Seem good?