I'm not sure what to do for this. Here's the problem:
"(a) Find the equation of the best quadratic approximation to y=ln(x) at x=1. The best quadratic approximation has the same first and second derivatives as y=ln(x) at x=1.
(b) Use a computer or calculator to graph the approximation and y=ln(x) on the same set of axes. What do you notice?
(c) Use your quadratic approximation to calculate approximate values for ln(1.1) and ln(2)"
Parts b and c, I don't doubt that they'd be easy after getting part a.
So could someone help me with part a?
"(a) Find the equation of the best quadratic approximation to y=ln(x) at x=1. The best quadratic approximation has the same first and second derivatives as y=ln(x) at x=1.
(b) Use a computer or calculator to graph the approximation and y=ln(x) on the same set of axes. What do you notice?
(c) Use your quadratic approximation to calculate approximate values for ln(1.1) and ln(2)"
Parts b and c, I don't doubt that they'd be easy after getting part a.
So could someone help me with part a?