Consider the function $f(x) = 10x^2 - 60x$ on the interval $[0, 8]$. Find the location of the absolute maximum for the given function on the given interval.\ Write only the x-value for your solution!
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To find the critical points, we need to find the values of x where the derivative of f(x) is equal to zero or undefined. The derivative of f(x) = 10x^2 + 60x is given by f'(x) = 20x + 60. Setting f'(x) = 0, we have: 20x + 60 = 0 20x = -60 x = -3 So, x = -3 is Show more…
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