根据导数定义求下列函数的导数(要有详细过程)y=3x+2设y=1/x^2,求y'|x=-1设y=x^1/2,求f'(4)_数学解答

根据导数定义求下列函数的导数(要有详细过程)
y=3x+2
设y=1/x^2,求y'|x=-1
设y=x^1/2,求f'(4)

人气：223 ℃　时间：2020-06-20 04:18:10

解答

y = 3x + 2,y'= 3
y = x^(-2),y'=-2*x^(-3) = -2/x^3
y'|(x=-1) = -2/(-1) = 2
y = x^(1/2) y'= (1/2)x^(-1/2)
f'(4) = (1/2)4^(-1/2) = 1/4