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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

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