1. The problem asks whether differentiability at a point implies continuity at that point. 2. The key formula or concept here is the definition of differentiability and continuity: - A function $f$ is differentiable at a point $x=a$ if the derivative $f'(a)$ exists. - A function $f$ is continuous at $x=a$ if $\lim_{x \to a} f(x) = f(a)$. 3. Important rule: Differentiability at a point implies continuity at that point. This is because if the derivative exists, the limit defining the derivative also ensures the function does not have a jump or removable discontinuity there. 4. Therefore, the statement "If a function is differentiable at a point, it must be continuous at that point" is **True**. 5. Summary: Differentiability $\Rightarrow$ Continuity, but continuity does not necessarily imply differentiability. Final answer: True