Clojure functions within arithmetic expressions

Question

How would one write the following ocaml expression in clojure:

fun x -> (f (x +. dx) -. f x) /. dx

I simplehearted tried the following expression, but that throws an exception:

(defn derivative [dx f]
  (fn [x] 
    (/ (- f [(+ x dx)] f [x]) dx)))

((derivative 0.01 (fn [x] (* x x))) 1)

java.lang.ClassCastException: ableitung$eval5058$fn__5059 cannot be cast to java.lang.Number Numbers.java:135 clojure.lang.Numbers.minus

I tried to translate the ocaml-example "The power of functions". And mixed the syntaxes of function-calls. — michaD
– michaD, Commented Feb 1, 2016 at 23:31

Lee · Accepted Answer · 2016-02-01 00:04:37Z

4

You need to apply f which you do with (f x y ..). You probably also shouldn't pass a single vector argument into f, although it's impossible to tell without the definition:

(defn derivative [dx f]
  (fn [x] 
    (/ (- (f (+ x dx)) (f x)) dx)))

answered Feb 1, 2016 at 0:04

Lee

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