Question

· The value of Q(O <theta < 1) in the mean value theorem f(n) = f(0) + h f'(theta h) where f(x)= 1/1+x is
(a)1/✓3
(b)1/3
(C)2/3
(D) none of these​

Answer 1

Answer: none of these

Step-by-step explanation: in the given question,theta varies in an open interval that should be in close interval for mean value theorem question.

1)for rollie's theorem f(x) is continous

in[a,b]

2)f(x) is differentiable in (a,b)

3)f(a)=f(b)

then their exist atlest one value  c belong (a,b)

f'(c)=0

But, condition 3rd is not satisfying ,ie f(0) not equal to f(1)

Ans none f these