WBJEE 2012 Math Solved Paper

If we take f(x)=4x4,then
(i) f(x) is continuous in (−2,2)
(ii) f(x) is differentiable in (−2,2)
(iii) f(−2)=f(2)
So, f(x)=4x4 satisfies all the conditions of Rolle’s theorem therefore ∃ a point c such that f'(c) = 0
⇒16c3=0⇒c=0∈(−2,2)