Calculus: Suppose f(x) is continuous on the real line, f(0) = 10, f(10) = 100, and f'(x) = x+1 on x lt 0, r on 0 lt x lt 20, and 5 on x gt 20. Find f(x) and compare its graph with f'(x).
Tagged under: Mathematics,antiderivative,indefinite,integral,continuity,piecewise,defined,derivative
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