Question: PART I: 1 . Explain the concepts of function, domain and range. 2 . State the definition of the derivative of a function at a

PART I: 1. Explain the concepts of function, domain and range.
2. State the definition of the derivative of a function at a point.
3. Give examples to illustrate that not all continuous functions are differentiable.
4. State the chain rule.
5. State the Intermediate Value Theorem and mention some of its main applications.
6. State the Mean Value Theorem and some of its main applications.
7. Explain how to find local and absolute maxima and minima of a function. 8. State the Fundamental Theorem of Calculus and explain why it is fundamental.
9. Name two mathematicians credited with the invention of Calculus.

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