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Grace tries to apply a few techniques in Differential Calculus, but she makes mistakes. For each, provide a short explanation on why she was
Grace tries to apply a few techniques in Differential Calculus, but she makes mistakes. For each, provide a short explanation on why she was wrong. a, b are constants. (a) y = 12, 50 y' = 2x (b) y = ax b ax (a = x), so y' = b(a - 3 x) b-1 (c) y = (x + a) (x b), so y' = 2(x + a)3(x b) = 6(x + a)(x b) - Draw a graph f(x) vs. x either manually or on Desmos. Mark 3 points A, B, C on this function, such that a f'(c), where point A is (a, f(a)), and so on.
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