Applications of Derivatives · Polynomial with given extrema

Let

f(x)

be a polynomial of degree 5, and have extrema at

x = 1

and

x = -1

. If

\displaystyle\lim_{x\to0}\left(\frac{f(x)}{x^3}\right) = -5

, then

f(2) - f(-2)

is equal to:

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