Let f be the function defined by f(x) = xcos(x) - sin(x). What is the absolute maximum value of f on the interval [-π/2, 2π]? Answer A: -π/2 Answer B: 2π Answer C: 0
Added by Brittney D.
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The critical points are where the derivative of the function is equal to zero or undefined. The derivative of f(x) = xcos(x) - sin(x) is f'(x) = cos(x) - xsin(x) - cos(x) = -xsin(x). Setting this equal to zero gives us x = 0 as a critical point. Show more…
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