设f(x)=x(x-1)(x-2)(x-3)(x-4),则f‘（0）=?

来源：学生作业帮编辑：百度作业网作业帮分类：数学作业时间：2024/08/08 16:14:14

f'(x)=x'(x-1)(x-2)(x-3)(x-4)x(x-1)'(x-2)(x-3)(x-4)+x(x-1)(x-2)'(x-3)(x-4)+x(x-1)(x-2)(x-3)'(x-4)+x(x-1)(x-2)(x-3)(x-4)'
=(x-1)(x-2)(x-3)(x-4)+x(x-2)(x-3)(x-4)+x(x-1)(x-3)(x-4)+x(x-1)(x-2)(x-4)+x(x-1)(x-2)(x-3)
后面每项都有x,则x=0时等于0
所以f'(0)=4!=24

设f(x)=x(x+1)(x+2).(x+100),则f '(0)= 设函数f(x)满足f(x)+2f(1/x)=x,求f(x) 设函数f(x)=(x-1)(x-2)(x-3)(x-4)(x-5)(x-6)(x-7)(x-8)(x-9)(x-10), 设f(x)=1-x,(x 设f (x)={2x+1(x≥0),x²+4(x 大一高数题设f(x)=x(x-1)(x-2)(x-3)...(x-1000),则f'(1)=? 设f(x+2)=4x²-3x,则f(x)= 设f(x-1)={-sinx/x,x>0;2,x=0;x-1,x 设函数f(x)=min{4x-x^2,-x,2x-3},则f(x)的最小值为设f(x)=(2x+5)^2*(3x-1)^4,求f'(x) 设f(x)为连续函数,且满足f(x)=3x^2-x∫（1,0）f(x)dx求f(x) 设f(x)=2^x+3^x-2则当x→0时（）