Repeat Exercise 91 with the function f(x) = (3.7x² − 2x + 1)e^{−3x + 2} and c = −2.17.

Data from Exercises 91

Use a numerical differentiation utility to find f'(c), where c = 0.65 and

Then use a graphing utility to sketch the graph of f(x) and to draw the tangent line at the point where x = c.

f(x) = In x+1 (1 + 3x)4.