Answer
Fill the blanks with
$(a, f(a))$
and
$f^{\prime}(a)$
Work Step by Step
The slope of the tangent line through the point on the graph of $f$ where $x=a$
is given by the instantaneous rate of change, or derivative
$m_{tan}=$ slope of tangent $=$ instantaneous rate of change$=$derivative $=f^{\prime}(a)$
---------
At x=a, the point on the graph of f is $(a, f(a)),$
and slope $m_{tan}=f^{\prime}(a)$
Fill the blanks with
$(a, f(a))$
and
$f^{\prime}(a)$
