Consider on the interval

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Consider f(x)=x4−4x2f(x)=x^{4}-4x^{2} on the interval [−2,2][-2,2]. How many distinct points cc in (−2,2)(-2,2) satisfy f′(c)=f(2)−f(−2)2−(−2)f'(c)=\dfrac{f(2)-f(-2)}{2-(-2)}? (a) 2 (b) 4 (c) 3 (d) 1

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