f(x)={x^2/x-2x-2}/x,求f'(1)x^2/x表示x的平方乘以根号下x{x^2/x-2x-2}除以x

Question

f(x)={x^2/x-2x-2}/x ,求 f '(1)
x^2/x 表示x的平方乘以根号下x { x^2/x-2x-2}除以x

Answer 1

f(x)=(x^2*√x - 2x-2)/x=x^(1/2)-2/x-2 f'(x)=1/2*x^(-1/2) - 2*(-1)*x^(-2) =1/2*x^(-1/2) + 2*x^(-2) f'(1)=1/2+2=5/2