A. Consider the function f(x) = x^4 - 32x^2 + 8, -3 ≤ x ≤ 9. Find the absolute minimum value: Find the absolute maximum value: B. The function f(x) = -2x^3 + 39x^2 - 216x + 6 has one local minimum and one local maximum. Local minimum & value: Local maximum & value: Please show work.
Added by Alvaro P.
Step 1
To find the absolute minimum and maximum values of the function f(x)=x^4-32x^2+8, we need to find the critical points and the endpoints of the given interval. First, we find the derivative of f(x) with respect to x: f'(x) = 4x^3 - 64x Setting f'(x) = 0, we get Show more…
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