Given $f(x)=1-4x^3,$ use a table to estimate the slope of the tangent line to $f$ at the point $P(1,-3).$

Find the slope of the secant line $PQ$ for each point $Q(x,f(x))$ with the $x$ values given in the table. $($Round each answer to $6$ decimal places if necessary.$)$

Use the answers from the table to estimate the value of the slope of the tangent line at the point $P.($Round your answer to the nearest integer.$)$

Provide your answer below:

$\backslash$table$[[x,m_{PQ}$