Home
Class 12
MATHS
Let f(x) is a continuous function on [-7...

Let `f(x)` is a continuous function on `[-7,0]` and differentiable function on the interval `(-7,0)` such that `f(-7)=-3` and given that `f'(c)<=2` for `c in(-7,0)`.If the largest possible value of `f(0)` is `k` .Then the value of `(k)/(3)` is

Promotional Banner

Similar Questions

Explore conceptually related problems

If f be a continuous function on [0,1] differentiable in (0,1) such that f(1)=0, then there exists some c in(0,1) such that

Let f(x) be a differentiable function in the interval (0, 2) then the value of int_(0)^(2)f(x)dx

Let f(x) be a differentiable function in the interval (0,2) then the value of int_(0)^(2)f(x) is

Let f(x) be a differentiable function in the interval (0,2) , then the value of int_0^2 f(x) dx is :

Let f be arry continuously differentiable function on [a,b] and twice differentiable on (a.b) such that f(a)=f(a)=0 and f(b)=0. Then

If f be a continuous function on [0,1], differentiable in (0,1) such that f(1)=0, then there exists some c in(0,1) such that

Let f(x), be a function which is continuous in closed interval [0,1] and differentiable in open interval 10,1[ Show that EE a point c in]0,1[ such that f'(c)=f(1)-f(0)

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 :

A function f(x) is, continuous in the closed interval [0,1] and differentiable in the open interval [0,1] prove that f'(x_(1))=f(1) -f(0), 0 lt x_(1) lt 1