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- Explain the relationship between a function and the derivative by providing an example.Describe the two methods that help to differentiate the equations implicitly, and find the derivative? Explain with examples?What is an instance where a function doesn’t have the same domain as its derivative? Give an example and explain how by showing the function, derivative and both domains.
- Use a computer algebra system to find the derivative of the function.Use a computer algebra system to find the derivative of the function. Then use the utility to graph the function and its derivative on the same set of coordinate axes. Describe the behavior of the function that corresponds to any zeros of the graph of the derivative.Find the derivative of a function using a combination of Product, Quotient and Chain Rules, or combinations of these and basic derivative rules.