DerivImpl.scala

import scala.language.experimental.macros
import scala.reflect.api.Trees
import scala.reflect.macros.blackbox

sealed trait Component {
  def toTree(implicit c: blackbox.Context): c.Tree
  def derive: Component
}

object Scalac {

  private def extractComponents(tree: Trees#Tree)(implicit c: blackbox.Context): List[Component] = ???

  def derivative(f: Double => Double): Double => Double = macro derivativeImpl

  def derivativeImpl(c: blackbox.Context)
    (f: c.Expr[Double => Double]): c.Expr[Double => Double] = ???
}