1302-习题2_1_6-课后习题-高等数学11 证明(1)若 f ( x ) f(x) f(x)为可导的奇函数,则 f ′ ( x ) f^{'}(x) f′(x)为偶函数;(2)若 f ( x ) f(x) f(x)为可导的偶函数,则 f ′ ( x ) f^{'}(x) f′(x)为奇函数;(3)若f(x)为偶函数,且 f ′ ( 0 ) f^{'}(0) f′(0)存在,则 f ′ ( 0 ) = 0 f^{'}(0)=0 f′(0)=0 证明: f ( x ) 可导则 f ′ ( x ) = lim h → 0 f ( x + h )