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Let f : R rarr R be a differentiable fun...

Let `f : R rarr R` be a differentiable function satisfying `f(x+y)=f(x) + f(y) +x^2y+xy^2` for all real number x and y . If `lim_(x rarr 0)(f(x))/x = 1`, then
The value of `f'(3)` is

A

8

B

10

C

12

D

18

Text Solution

Verified by Experts

The correct Answer is:
B
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