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Posted: December 25th, 2022
Function is Differentiable Assignment | Assignment Help Services
1. Recall a definition of a function that we learned at the beginning of the course: A function is a rule that assigns one output to each input. If the derivative is a function, what are its inputs? What are its outputs?
2. Explain how a function could be continuous at a point but NOT differentiable at that point. Give examples.
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3. If a function is differentiable at every point, is the function continuous? Explain.
4. Suppose you have a function f(x) . In your own words, explain what is meant by the notation f '(x) and how the two functions are related. (If the derivative is positive, what do we know about the original function? Why? What if the derivative is negative?) Get Math homework help
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