InitHEADmain

1 files changed, 25 insertions, 0 deletions

diff --git a/Homework/math4610/deprecated-cl/approx,derivative.lisp b/Homework/math4610/deprecated-cl/approx,derivative.lisp
new file mode 100644
index 0000000..631a5c0
--- /dev/null
+++ b/Homework/math4610/deprecated-cl/approx,derivative.lisp
@@ -0,0 +1,25 @@
+(in-package :lizfcm.approx)
+
+(defun central-derivative-at (f x &optional (delta 0.01))
+  (let* ((x2 (+ x delta))
+         (x1 (- x delta))
+         (y2 (apply f (list x2)))
+         (y1 (apply f (list x1))))
+    (/ (- y2 y1)
+       (- x2 x1))))
+
+(defun forward-derivative-at (f x &optional (delta 0.01))
+  (let* ((x2 (+ x delta))
+         (x1 x)
+         (y2 (apply f (list x2)))
+         (y1 (apply f (list x1))))
+    (/ (- y2 y1)
+       (- x2 x1))))
+
+(defun backward-derivative-at (f x &optional (delta 0.01))
+  (let* ((x2 x)
+         (x1 (- x delta))
+         (y2 (apply f (list x2)))
+         (y1 (apply f (list x1))))
+    (/ (- y2 y1)
+       (- x2 x1))))