Find the value c that satisfies Rolle's Theorem for f(x) = x³ -4x on [-2, 2]. A) -2.0 B) 1.2 C) 2.0 D) 4.0 E) -4.0

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Rolle's Theorem requires that f(a) = f(b) for a continuous and differentiable function on [a, b]. Here, f(-2) = f(2) = 0. The derivative f'(x) = 3x^2 - 4. Setting f'(x) = 0 gives 3x^2 - 4 = 0, solving for x gives x = ±√(4/3). Only x = 1.2 is in the interval [-2, 2].

Find the Value C That Satisfies Rolle's Theorem for F(x)