Writing Use a graphing utility to graph
in the same viewing window. Compare the magnitudes of f(x) and g(x) when x is close to 0. Use the comparison to write a short paragraph explaining why .
For unlimited access to Homework Help, a Homework+ subscription is required.
Writing Use a graphing utility to graph the two functions and in the same viewing window. Use the zoom and trace features to analyze the graphs near the point (0, 1). What do you observe? Which function is differentiable at this point? Write a short paragraph describing the geometric significance of differentiability at a point.
Analyzing a Graph Consider the function
(a) Use a graphing utility to graph f.
(b) Write a short paragraph explaining why the graph has a horizontal asymptote at and why the function has a nonremovable discontinuity at .
Linear and Quadratic Approximation In Exercises 87 and 88, use a graphing utility to graph the function. Then graph
and
in the same viewing window. Compare the values of and their first derivatives at .
