Home
Class 12
MATHS
Let f:[2,7]vec[0,oo) be a continuous and...

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`

Promotional Banner

Similar Questions

Explore conceptually related problems

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(x) be a continuous & differentiable function on R satisfying f(-x)=f(x)&f(3+x)=f(3-x)AA x in R . If f'(1)=-5 then f'(7) =

Let f(x) be continuous and differentiable function everywhere satisfying f(x+y)=f(x)+2y^(2)+kxy and f(1)=2, f(2)=8 then the value of f(3) equals

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

Let f(x) be a continuous function such that f(0)=1 and f(x)=f((x)/(7))=(x)/(7)AA x in R then f(42) is

Let f be any continuous function on [0, 2] and twice differentiable on (0, 2). If f(0) = 0, f(1) = 1 and f(2) = 2, then :

Let f : R to R : f(x) =(2x-7)/(4) be an invertible function . Find f^(-1)