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Assume That F Is a Differentiable Function Defined on All

question 71

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Assume that f is a differentiable function defined on all of the real line.Is it possible that f > 0 everywhere, f ' > 0 everywhere, and f ' < 0 everywhere?

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Definitions:

Cryosurgery

A medical procedure that uses extreme cold to destroy abnormal or diseased tissue, including cancers.

Emollients

Substances that soften and moisturize the skin to reduce itching and flaking.

Antifungals

Medications specifically designed to treat or prevent fungal infections by disrupting the cell structures of fungi or preventing their growth.

Keratolytics

Substances used to soften and remove excess keratin from the skin's surface.

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