Return to Assignments Tangent line to graph

### Assignment 9

The graph of the function:

intersects the -axis in point A.

The tangent line at this point of the graph intersects the -axis. Calculate the coordinates of this intersection point.

### Solution

Intersection point A has the coordinates . In order to calculate the tangent line at this point, we calculate the slope and we do this by differentiation:

and thus the slope in the point equals:

The tangent lne has the following equation:

with:

and

and thus:

or:

This line intersects the -axis in the point .

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