We have the following curve:
So we need to find <span>an equation of the
tangent line to this curve at the point
. So let's find out if this point, in fact, belongs to the curve:
</span>
.
<span>
We also know that:
</span>
<span>
Given that the point is:
</span>
Then we will say that:
Therefore:
Computing the derivative:
So the derivative solved for
is in fact the
slope of the line at the point
, then:
Finally, the tangent line is:
<em>This is shown in the figure below.</em><span>
</span>