Difficult# Using a Table to Compute a Derivative of Composed Function

APCALC-ZP9VGD

The table below gives values of $F'(x)$ on the interval $[-1,1]$, where $F(x)$ is a continuous, differentiable function.

If $G(x)=F(6x-1)$, what is $G'(0.1)$?

$$x \hspace{1cm}$$ | -0.8 | -0.6 | -0.4 | -0.2 | 0 | 0.2 | 0.4 | 0.6 | 0.8 |
---|---|---|---|---|---|---|---|---|---|

$F'(x)$ | -1.5 | -1 | -0.5 | 0 | 0.5 | 1 | 1.5 | 1 | 0.5 |