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Recall that a function f is called even if f(-x)=f(x) for all x in its domain and odd if f(-x)=-f(x) for all such x. Prove each of the following. (a) The derivative of an even function is an odd function. (b) The derivative of an odd function is an even function. -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 140.128.194.70
AZsorcerer :證明偶函數的微分是奇函數,奇函數的微分是偶函數 10/11 08:22
Sfly :題目很清楚啊 10/11 08:22
AZsorcerer :這題用連鎖律就可以做出來了 10/11 08:23
coilion9670 :阿...可以給點提示怎麼解嗎...小弟我還是不會證.. 10/11 08:23
AZsorcerer :f'(-x)=-f'(x) 10/11 08:25
coilion9670 :i got it. 謝謝大家 10/11 08:42