Given $f(x) = 5x^2 - 3x - 1$, use a table to estimate the slope of the tangent line to $f$ at the point $P(1, 1)$.
1. 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.)
2. 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:
$x$ $m_{PQ}$
0.9
0.99
0.999
1.001
1.01
1.1
slope $\approx$
