Maths
General
Easy
Question
Suppose that is differentiable for allx and that for all x If and f(4)=8 then f(2) has the value equal to



 8
The correct answer is:
In the question it is given that f is differentiable to solve lets use Lagranges mean value theorem innn the interval [1,4]
f'(c)= f(4)f(1)/3
f'(c)=2
f'(x)=2
f(x)=2x+4
f(1)=2+k
k=0
f(x)=2x
f(2)=4
Hence f(2)=4 is the suitable option
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