From 6bf4b90c90f15f4ab60833bddf5b5756d1a6b1f6 Mon Sep 17 00:00:00 2001 From: Elizabeth Alexander Hunt Date: Thu, 2 Jul 2026 11:55:17 -0700 Subject: Init --- Homework/math4610/src/approx_derivative.c | 38 +++++++++++++++++++++++++++++++ 1 file changed, 38 insertions(+) create mode 100644 Homework/math4610/src/approx_derivative.c (limited to 'Homework/math4610/src/approx_derivative.c') diff --git a/Homework/math4610/src/approx_derivative.c b/Homework/math4610/src/approx_derivative.c new file mode 100644 index 0000000..63d0b05 --- /dev/null +++ b/Homework/math4610/src/approx_derivative.c @@ -0,0 +1,38 @@ +#include "lizfcm.h" +#include + +double central_derivative_at(double (*f)(double), double a, double h) { + assert(h > 0); + + double x2 = a + h; + double x1 = a - h; + + double y2 = f(x2); + double y1 = f(x1); + + return (y2 - y1) / (x2 - x1); +} + +double forward_derivative_at(double (*f)(double), double a, double h) { + assert(h > 0); + + double x2 = a + h; + double x1 = a; + + double y2 = f(x2); + double y1 = f(x1); + + return (y2 - y1) / (x2 - x1); +} + +double backward_derivative_at(double (*f)(double), double a, double h) { + assert(h > 0); + + double x2 = a; + double x1 = a - h; + + double y2 = f(x2); + double y1 = f(x1); + + return (y2 - y1) / (x2 - x1); +} -- cgit v1.3