A) \[3\]
B) \[6\]
C) \[9\]
D) \[12\]
Correct Answer: B
Solution :
[b] Let \[F(x)={{f}^{3}}(x)\] And \[F(x)\] is continuous and differentiable function in \[[1,\,\,3]\]. Using LMVT, we get \[\frac{F(3)-F(1)}{3-1}=F'(c)\] \[\therefore \,\,\,\frac{{{f}^{3}}(3)-{{f}^{3}}(1)}{2}=3{{f}^{2}}(c).f'(c)\] \[\Rightarrow \,\,\,\,\,k=6\]You need to login to perform this action.
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