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Problem 56 Hard Difficulty
(a) Use a graphing device to graph $ f(x) = 2x - 3 \sqrt{x} $.
(b) Starting with the graph in part (a), sketch a rough graph of the antiderivative $ F $ that satisfies $ F(0) = 1 $.
(c) Use the rules of this section to find an expression for $ F(x) $.
(d) Graph $ F $ using the expression in part (c). Compare with your sketch in part (b).
Answer
(a)$f(0)=d=3$
(b)See the explanation for solution
(c)$F(x)=x^{2}-2 x^{3 / 2}+1$
(d)See the explanation for solution
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Video Transcript
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Top Calculus 2 / BC Educators
Catherine R.
Missouri State University
Caleb E.
Baylor University
Kristen K.
University of Michigan - Ann Arbor
Samuel H.
University of Nottingham