10復 旝愊暘偺寁嶼

Maple丂傪梡偄偰摫娭悢傪媮傔傞偵偼丄 diff 僐儅儞僪傪梡偄傑偡丅


亜diff(x^10 , x)
(x10偺摫娭悢傪媮傔傞)
10 x9

丂崅奒摫娭悢傪媮傔傞偲偒偼丄 旝暘偡傞曄悢傪暲傋偰擖椡偡傞偐 $n ( n 偼旝暘偡傞夞悢 )偲擖椡偟傑偡丅 椺偊偽丄x10偺 3奒摫娭悢傪媮傔傞偵偼


亜diff(x^10 x , x , x)


亜diff(x^10 , x$3)
側偳偲偟傑偡丅



幚廗 10.1 師偺娭悢傪旝暘偟偰傒傑偟傚偆丅

丂(1) x3-2x2-9 丂丂丂(2) (4x2-5)6 丂丂丂(3) ef(x) 丂丂丂(4) f(x)g(x) 丂丂丂(5) f(x)÷g(x)

丂丂(6) sin(x2)丂乮俀奒旝暘乯 丂丂(7) ax乮係奒旝暘乯 丂丂(8) f(x)g(x)乮俆奒旝暘乯

[惓夝椺]


愊暘寢壥傪摼傞偨傔偵偼丄int 僐儅儞僪傪梡偄傑偡丅


亜int(x^n, x)
(∫xn dx傪媮傔傞)


亜int(sin(Pi * x ) x=0 . . 1/2)
(∫1/20sin兾x dx傪媮傔傞)


亜int (exp(-x^2) , x=-infinity . . infinity)
(∫亣-亣e-x2丂dx傪媮傔傞)


Maple 偱偼丄柍尷戝 亣 偼 infinity 偲昞偟傑偡丅



幚廗 10.2 丂丂丂師偺晄掕愊暘傪媮傔偰傒傑偟傚偆丅

(1) ∫exdx 丂丂(2) ∫(1/sint)dx 丂丂(3) ∫axdx 丂丂(4) ∫ 1/(1+x2) dx

[惓夝椺]


幚廗 10.3 師偺掕愊暘傪媮傔偰傒傑偟傚偆丅

(1) ∫10(2x+1)exdx 丂丂(2) ∫1-11/(1+x2)dx 丂丂(3) ∫ba(x-a)(x-b)dx

[惓夝椺]