A) 0
B) 1
C) 2
D) infinite
Correct Answer: A
Solution :
Using LMVT in [1,4] for \[y=f(x)\] there must exist at least one \[c\in (1,4)\]such that \[f'(c)=\frac{f(4)-f(1)}{4-1}=\frac{8}{3}\]but \[f'(x)>3\forall x\in R\] Hence, no such function exists.You need to login to perform this action.
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