画一个图像是continuous和differentiable的

Here is the image of a function that is both continuous and differentiable, represented by a smooth curve with no breaks or sharp corners.

Would you like any details or have any questions about the concepts of continuity and differentiability? 

Here are five related questions you might find interesting:
1. What are the formal definitions of continuity and differentiability?
2. How does the Mean Value Theorem relate to differentiable functions?
3. Can a function be continuous but not differentiable? Provide examples.
4. What role does differentiability play in optimization problems?
5. How does the second derivative test help determine concavity?

**Tip:** A function that is differentiable at a point is always continuous at that point, but the reverse is not always true!

Explore the concepts of continuity and differentiability in functions. Learn about their definitions, examples, and the Mean Value Theorem. Discover how these concepts are fundamental in calculus and optimization problems.

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