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JEE MATHEMATICS MCQ: MEAN VALUES THEOREM

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Analyzing +4 | -1
Let f:[0,4]→Rf:[0,4] \rightarrow R, be a differentiable function. Then, there exists real numbers a,b∈(0,4)a, b \in(0,4) such that, (f(4))2−(f(0))2=Kf1(a)f(b)(f(4))^2-(f(0))^2=K f^1(a) f(b) Where K{K}, is
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Correct option: B
8
Option A (6) is correct because solving the trigonometric equation yields 6 solutions in the interval [0, 2π].

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