Suppose that f and g are continuous on I = [a, b], and they are differentiable on (a, b) with f'(x) = g'(x) for all x ∈ (a, b). Show that there exists a constant C such that f = g + C on I.
Suppose that f and g are continuous on I = [a, b], and they are differentiable on (a, b) with f'(x) = g'(x) for all x ∈ (a, b). Show that there exists a constant C such that f = g + C on I.
Chapter3: Functions
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Suppose that f and g are continuous on I = [a, b], and they are differentiable on (a, b) with f'(x) = g'(x) for all x ∈ (a, b). Show that there exists a constant C such that f = g + C on I.
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