In Exercises 33-40, find an equation of the tangent line to the graph
at the given
Example 4
Finding the Equation of Tangent Line at Given
Find the point-slope equation of the tangent line to the graph of
at
Solution
In this problem, we are given a point on the tangent line, but only its first coordinate
Since the point is on the graph
-value into
Thus,
is the point on the graph and the tangent line. Next, we find the slope of the tangent line. For this purpose, we compute
by using the power rule:
The slope tangent line when
is
In the
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