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# (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).

## (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

Derivatives

Differentiation

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##### Catherine R.

Missouri State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Samuel H.

University of Nottingham

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