W wind Junior Member Joined Sep 20, 2006 Messages 179 Jan 24, 2007 #1 Hi can someone help me with this A function f is given by the table shown estimate f'(4.3) x......3.7...4.3...4.9...5.5...6.1 f(x)..1.8...3.4...4.6...6.4...8.4 a)0.500 b)2.333 c)2.000 How am I supposed to do this? Thanks
Hi can someone help me with this A function f is given by the table shown estimate f'(4.3) x......3.7...4.3...4.9...5.5...6.1 f(x)..1.8...3.4...4.6...6.4...8.4 a)0.500 b)2.333 c)2.000 How am I supposed to do this? Thanks
skeeter Elite Member Joined Dec 15, 2005 Messages 3,204 Jan 24, 2007 #2 you estimate the slope of a tangent line with the slope of a secant line. a good estimate would be the secant line w/ endpoints symmetrical to the point of interest \(\displaystyle \L f'(4.3) \approx \frac{f(4.9) - f(3.7)}{4.9 - 3.7}\)
you estimate the slope of a tangent line with the slope of a secant line. a good estimate would be the secant line w/ endpoints symmetrical to the point of interest \(\displaystyle \L f'(4.3) \approx \frac{f(4.9) - f(3.7)}{4.9 - 3.7}\)
