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Let `f (x) ` be a differentiable function and `f '(1) =4,f'(2) =6` where `f '(c )` means the derivative of function `f(x) at x=c.` Then `lim _(hto0)(f(2 +2h +h^(2))-f(2))/(f (1+h-h^(2))-f(1))` is equal to-

A

`3/2`

B

`3`

C

`-3`

D

does not exist

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The correct Answer is:
B
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