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Solve for x: 4 log x = log (15 x2 + 16)
Solution: x4 - 15 x2 - 16 = 0
(x2 + 1)(x2 - 16) = 0
x = ± 4
But log x is not described when x = - 4, the x = 4 is the only answer.
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The curve (y+1) 2 =x 2 passes by the points (1, 0) and (- 1, 0). Does Rolle's Theorem clarify the conclusion that dy dx vanishes for some value of x in the interval -1≤x≤1?
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