The point $P(4, 24)$ lies on the curve $y = x^2 + x + 4$. If $Q$ is the point $(x, x^2 + x + 4 )$, find the slope of the secant line $PQ$ for the following values of $x$.
If $x= 4.1$, the slope of $PQ$ is:
and if $x= 4.01$, the slope of $PQ$ is:
and if $x= 3.9$, the slope of $PQ$ is:
and if $x= 3.99$, the slope of $PQ$ is:
Based on the above results, guess the slope of the tangent line to the curve at $P(4, 24)$.
For this problem, should I just plug in the x values given into the y equation? Then the slope would be...??
HELP! Please!