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If the function f:[0,4]vecR is different...

If the function `f:[0,4]vecR` is differentiable, the show that for `a , b , in (0,4),f^2(4))-(f^2(0))=8f^(prime)(a)f(b)`

Text Solution

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The correct Answer is:
(i) `f(a)f(b) for a,b,in (0,4)`
(ii) `int_0^4 f(t)dt =2 [alphaf(alpha^^(2) + betaf(beta^(2))]` for some alpha, beta such that `0 ltalpha, beta lt 2`.
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