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Mathematics, 11.04.2021 14:00 lauriepdx

Consider the cubic equation x^3 = 3x + 8. If we differentiate each side with respect to x, we obtain 3x^2 = 3, which have two solutions x = 1 and x = −1. But neither of these is a solution of the original cubic equation. Explain what went wrong and why does the differentiation of both sides of the cubic equation gives an invalid result.

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Consider the cubic equation x^3 = 3x + 8. If we differentiate each side with respect to x, we obtain...
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