求解这一道题高数题目,有点不明白步骤?谢谢大家

2024-11-07 16:39:12
推荐回答(1个)
回答1:

f(x)=x^(1/2)
f'(x)=1/2*x^(-1/2)=1/[2*x^(1/2)],即x={1/[2*f'(x)]^2}=1/4*1/[f'(x)]^2
由中值定理可知此时f'(ζ)=[f(9)-f(0)]/(9-0)=1/3
那么ζ=1/4*1/(1/3)^2=9/4