Question: Hi I need help with those 2 question please 3. The Punchline We have now computed three different area functions. Fill in the blanks: f

Hi I need help with those 2 question please

Hi I need help with those 2 question please 3. The Punchline

3. The Punchline We have now computed three different area functions. Fill in the blanks: f ( 1 ) = 4 A ( x ) = A' (x) = f (1 ) = 21 + 2 B (x) = B' (x) = f (1) = 21 +2 C (x) = C' ( x) = You should notice a very interesting fact about the derivatives of the area functions - a fundamentally beautiful property. What is it? 4. We are going to define one final function, D (x) = So 0.2t sin (cos (sin ?)) dt. f ( 1) 1 Don't worry about trying to find a simple formula for D (x). But, using our amazing fact, fill in the last blank: D' (x) = Not only is the fact that we've discovered a surprising one; as we shall see in Section 5.4, it is also extremely useful

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