Moderate# Chain Rule Table

APCALC-MNNIER

x | f(x) | f'(x) | g(x) | g'(x) |
---|---|---|---|---|

-4 | 12 | 10 | 5 | -3 |

2 | 5 | -8 | -4 | 2 |

5 | 2 | -3 | 0 | 5 |

Given the table below of values of the differentiable functions $f(x)$ and $g(x)$, if:

$$h(x) = f(g(x))$$

...find $h^\prime(2)$.