I'll just get right to the problem:
"The following table gives some values for a function called the Bessel function (used in physics).
x: 0, 0.25, 0.50, 0.75, 1, 1.25, 1.50, 1.75, 2
f(x): 1.0, 0.9844, 0.9385, 0.8642, 0.7652, 0.6459, 0.5118, 0.3690, 0.2239
What is the best estimate for the value of the derivative at x=2? Show what you are calculating."
I'm a little stuck on this one. I know that if it were another value, like 1, I would just find an estimate of the derivative by using the values on either side of it. But x=2 is the last value given, so how do I go about estimating the derivative? Any help would be appreciated.
"The following table gives some values for a function called the Bessel function (used in physics).
x: 0, 0.25, 0.50, 0.75, 1, 1.25, 1.50, 1.75, 2
f(x): 1.0, 0.9844, 0.9385, 0.8642, 0.7652, 0.6459, 0.5118, 0.3690, 0.2239
What is the best estimate for the value of the derivative at x=2? Show what you are calculating."
I'm a little stuck on this one. I know that if it were another value, like 1, I would just find an estimate of the derivative by using the values on either side of it. But x=2 is the last value given, so how do I go about estimating the derivative? Any help would be appreciated.
