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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