Past exam of the mathematics course of the University of Cambridge / 2025 / ia / Paper 1 / 11E / b / Solution

If $f$ is continuous on $[x,y]$ and differentiable on $(x,y)$, then some $c\in (x,y)$ satisfies $f(y)-f(x)=f\prime (c)(y-x)$.

Solved by gpt-5.6-sol high.