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Let f be a differentiable function on the interval [0, 2Ï€] with derivative f' . Show...

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Advance Math

Let f be a differentiable function on the interval [0, 2π] withderivative f' . Show that there exists a point c ∈ (0, 2π) suchthat cos(c)f(c) + sin(c)f'(c) = 2 sin(c).

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