Determine whether the two curves and
are tangential at the point
. If so, derive the
equation of their common tangent.
If the two curves are tangential at the point , then their slope functions will be equal at this point.
First, find the slope function for each curve and evaluate when .
Therefore, the two curves are tangential to each other at the point as their slope are the same at this point.
The common tangent has a slope of and passes through the point . Its equation can be found using the general equation of a straight line.