Let `f:[2,7]vec[0,oo)` be a continuous and differentiable function. Then show that `(f(7)-f(2))((f(7))^2+(f(2))^2+f(2)f(7))/3=5f^2(c)f^(prime)(c),` where `c in [2,7]dot`

Let f:[2,7]to[0,oo) be a continuous and differentiable function. Then show that (f(7)-f(2))((f(7))^2+(f(2))^2+f(2)f(7))/3=5f^2(c)f^(prime)(c), where c in [2,7]dot

Let f:[2,7]rarr[0,oo) be a continuous and differentiable function.Then show that (f(7)-f(2))((f(7))^(2)+(f(2))^(2)+f(2)f(7))/(3)=5f^(2)(c)f'(c) where c in[2,7]

Let f,[2,7]rarr[0,oo) be a continuous and differentiable function, Then the value if (f(7)-f(2))((f(7))^2+(f(2))^2+f(2)xf(7))/3 is (where cin(2,7) )

Let f"[2,7]rarr[0,oo) be a continuous and differentiable function. Then, the value of (f(7)-f(2))((f(7))^(2)+(f(2))^(2)+f(2).f(7))/(3) is (where c in (2,7) )

Let f"[2,7]rarr[0,oo) be a continuous and differentiable function. Then, the value of (f(7)-f(2))((f(7))^(2)+(f(2))^(2)+f(2).f(7))/(3) is (where c in (2,7) )

Let f : [2,7] rarr [ 0 , oo) be a continuous and differentiable function. Then, the value of (f (7) - f(2)) ((f(7))^(2)+ (f(2))^(2) + f(2). f(7))/(3) is ( where c in ( 2, 7 ) )

Let f:[1,3]to[0,oo) be continuous and differentiabl function. If (f(3)-f(1))(f^(2)(3)+f^(2)(1)+f(3)f(1))=kf^(2)(c)f'(c) where c in (1,3), then the value of k is "_____"

For the function f,f(x)=x^(2)-4x+7, show that f'(5)=2f'((7)/(2))