已知:f(x)=(x-1)(x-2)(x-3)...(x-100),求f'(3)的值(即求f(3)的导数)
问题描述:
已知:f(x)=(x-1)(x-2)(x-3)...(x-100),求f'(3)的值(即求f(3)的导数)
请写出比较详细一些的过程
答
f'(x)=(x-1)'*(x-2)(x-3)……(x-100)+(x-1)(x-2)'*(x-3)……(x-100)+(x-1)(x-2)(x-3)'*……(x-100)+……+(x-1)(x-2)(x-3)……(x-100)'除了(x-1)(x-2)(x-3)'*……(x-100)这一项外,其他都有x-3这一项所以x=3是等于0而(...