### Home > APCALC > Chapter 3 > Lesson 3.4.4 > Problem 3-189

3-189.

Without a calculator, write the equation of the line tangent to .

Write the tangent line in point-slope form:

Find the point by evaluating . Careful! Notice the denominator.

Though the denominator 'cancels out', there remains a hole in the graph at . Since there is no point, there is no line, and consequently no tangent line.

Step 2 would be to use to find the slope at

*. However, since the tangent line does not exist, there is no reason to find its slope!*