这道题的代码略长啊。不过我也是因此而知道Edwin上的代码居然可以复制到word上,以前还想当然的以为不能复制的,毕竟在Edwin上粘贴用的Ctrl+Y,而不是Ctrl+V。在这里我就只将书上没有的代码贴出来了。
(define (deriv exp var)(cond ((number? exp) 0)((variable? exp)(if (same-variable? exp var) 1 0))((sum? exp)(make-sum (deriv (addend exp) var)(deriv (augend exp) var)))
((product? exp)(make-sum (make-product (multiplier exp) (deriv (multiplicand exp) var))(make-product (deriv (multiplier exp) var) (multiiplicand exp))))((exponentiation? exp)(let ((n (exponent exp)) (u (base exp)))(make-product n (make-product (make-exponentiation u (- u 1)) (deriv u var)))))(else(error "unknown expression type -- DERIV" exp))))
(define (make-exponentiation base exponent)(cond ((= exponent 0)1)((= exponent 1)base)(else (list '** base exponent))))
(define (exponentiation? x)(and (pair? x)(eq? (car x) '**)))
(define (base exp)(cadr exp))
(define (exponent exp)(caddr exp))
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