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1 files changed, 38 insertions, 0 deletions

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 <assert.h>
+
+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);
+}