you will use a CAS to help find the absoluteextrema of the given function over the specified closed interval. Performthe following steps.a. Plot the function over the interval to see its general behavior there.b. Find the interior points where ƒ' = 0. (In some exercises, you mayhave to use the numerical equation solver to approximate a solution.)You may want to plot ƒ' as well.c. Find the interior points where ƒ' does not exist.d. Evaluate the function at all points found in parts (b) and (c) and atthe endpoints of the interval.e. Find the function’s absolute extreme values on the interval andidentify where they occur. ƒ(x) = -x4 + 4x3 - 4x + 1, [-3/4, 3]

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.