# Calc2.42

From Example Problems

Find the equation of the tangent line to the graph when .

To find the equation of a line, we need two points or a point and the slope. Since the derivative gives the slope of the tangent line, find . We already know a point on the tangent line as it must be on the graph at .

and

So the slope of the tangent line to at the point is . Now, to find the equation of the tangent line, we can use the point and slope by using the point-slope form.