The Table Below Gives Values for Functions F and G

question 49

Short Answer

The table below gives values for functions f and g, and their derivatives.
$$\begin{array} { l c c c c } \boldsymbol { x } & - 1 & 0 & 1 & 2 &3\\f & 3 & 3 & 1 & 0 &1\\g & 1 & 2 & 2.5 & 3&4 \\f^ { \prime } & - 3 & - 2 & - 1.5 & - 1&1 \\g ^ { \prime } & 2 & 3 & 2 & 2.5&3\end{array}$$
Find $\frac { d } { d x } ( f ( x ) g ( x ) )$ at x = 1.Round to 2 decimal places.

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Definitions:

Physiological Stress

The body's response to a demand or challenge, which can affect physical health, such as increased heart rate and blood pressure.

Metabolic Rate

The rate at which the body uses energy while at rest to maintain vital functions such as breathing and keeping warm.

Meningitis

An inflammation of the protective membranes covering the brain and spinal cord, potentially leading to serious health issues.

Hyperventilating

Breathing at an abnormally rapid rate, leading to a decrease in carbon dioxide levels in the blood.