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Suppose f is differentiable and invertible with domain all of R.with derivative f' never zero. If f is strictly increasing, what can you say about

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Suppose f is differentiable and invertible with domain all of R.with derivative f' never zero. If f is strictly increasing, what can you say about its inverse, f'1 , is it necessarily strictly increasing, strictly decreasing, or neither? Justify your answer or give a counterexample if neither

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