Graphing Utility to Graph The Function And its Tangent Line at The Point

Consider the following function.
f(x)=x+
x
6

,(−6,−7)
(a) Find an equation of the tangent line to the graph of
f
at the given point. Graphing Utility to Graph The Function And its Tangent Line at The Point
y=
(b) Use a graphing utility to graph the function and its tangent line at the point. Estimate the slope of the graph at the points
(x
1

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,y
1

)
and
(x
2

,y
2

)
. At
(x
1

,y
1

)
, slope
=
At (x
2

,y
2

), slope =
Find an equation of the line that is tangent to the graph of
f
and parallel to the given line. Function Line
f(x)=x
2
4x−y+4=0
y= Graphing Utility to Graph The Function And its Tangent Line at The Point

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