Home
Class 12
MATHS
Let f,g:[-1,2]rarr RR be continuous func...

Let `f,g:[-1,2]rarr RR` be continuous functions which are twice differentiable on the interval (-1, 2). Let the values of f and g at the points –1, 0 and 2 be as given in the following table : `x=-1 x=0 x=2 f(x) 3 6 0 g(x) 0 1 -1` In each of the intervals (-1,0) and (0, 2) the function (f – 3g)'' never vanishes. Then the correct statement(s) is(are)

Promotional Banner

Similar Questions

Explore conceptually related problems

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(x)=cot^-1g(x)] where g(x) is an increasing function on the interval (0,pi) Then f(x) is

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)

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

If f(0)=f(1)=f(2)=0 and function f (x) is twice differentiable in (0, 2) and continuous in [0, 2]. Then, which of the following is(are) true ?