Suppose That F and G Are Functions That Are Differentiable $f^{\prime}$

question 13

Short Answer

Suppose that f and g are functions that are differentiable at x = -3 and that f (-3) = 3, $f^{\prime}$ (-3) = -5, g (-3) = 3, and $g^{\prime}$ (-3) = 3. Find $h^{\prime}(-3)$ . $h(x)=\frac{x f(x)}{x+g(x)}$

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Definitions:

State-dependent Memory

State-dependent memory is the phenomenon where information learned in a particular state of mind (e.g., emotional or physical) is more easily recalled when in the same state.

Emotional State

A complex experience of consciousness, bodily sensation, and behavior that reflects the personal significance of a thing, an event, or a state of affairs.

Recovered Memory

A memory of a traumatic event that was not remembered for a period of time, often years, and then is recalled, sometimes with the help of therapy.

Mood Congruent Memory

The tendency to recall memories that are consistent with one's current mood.