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Suppose f is a differentiable function that satisfies Zmm) + cos(f(m) i 1) = 5 for all m. If f(2) : 1, what is f'(2)

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Suppose f is a differentiable function that satisfies Zmm) + cos(f(m) i 1) = 5 for all m. If f(2) : 1, what is f'(2) ? Answer: f'(2) = a g 5 lal mm 1111 0 a (You do not need to (nor can you!) find a formula for x). Hint: differentiate both sides of the equation with respect to m.)

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