`f: [0.4]-> R` is a differentiable function. Then prove that for some `a,bin(0,4)`, `f^2(4)-f^2(0)=8f'(a)*f(b)`.

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

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)

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)

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

Let f:[0,4]rarr R be a differentiable function then for some alpha,beta in (0,2)int_(0)^(4)f(t)dt

Given a function f:[0,4]toR is differentiable ,then prove that for some alpha,beta in (0,2), int_(0)^(4)f(t)dt=2alphaf(alpha^(2))+2betaf(beta^(2)) .

Given a function f:[0,4]toR is differentiable ,then prove that for some alpha,beta in (0,2), int_(0)^(4)f(t)dt=2alphaf(alpha^(2))+2betaf(beta^(2)) .

Given a function f:[0,4]toR is differentiable ,then prove that for some alpha,beta epsilon(0,2), int_(0)^(4)f(t)dt=2alphaf(alpha^(2))+2betaf(beta^(2)) .

Given a function f:[0,4]toR is differentiable ,then prove that for some alpha,beta epsilon(0,2), int_(0)^(4)f(t)dt=2alphaf(alpha^(2))+2betaf(beta^(2)) .

Given a function f:[0,4]toR is differentiable ,then prove that for some alpha,beta epsilon(0,2), int_(0)^(4)f(t)dt=2alphaf(alpha^(2))+2betaf(beta^(2)).