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Derivatives

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1. Suppose f'(t) <0 for all t in the interval (2,8). Explain why f(3) > f(5)

2. Suppose f(0) = 3 and 2 is less than or equal to f'(x) which is less than or equal to 4 for all x in the interval [-5,5]. Determine the greatest and least possible values of f(2).

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Solution Summary

This shows how to answer questions about functions using the derivatives. The differentiation over interval values are determined.

Solution Preview

Please refer to the attached file. Cheers.

1. For 2 < x < 8, ...

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