If f(x) and g(x) ar edifferentiable function for `0lex le1` such that `f(0)=2,g(0),f(1)=6,g(1)=2`, then in the interval (0,1)

If f(x) and g(x) ar edifferentiable function for 0lex le1 such that f(0)=2,g(0) = 0,f(1)=6,g(1)=2 , then in the interval (0,1)

If f(x) and g(x) are differentiable functions for 0<=x<=1 such that f(0)=10,g(0)=2,f(1)=2,g(1)=4 then in the interval (0,1).f'(x)=0 for all xf'(x)+4g'(x)=0 for at least one xf(x)=2g'(x) for at most one x none of these

f(x) and g(x) are differentiable functions for 0 le x le 2 such that f(0)=5, g(0)=0, f(2)=8, g(2)=1 . Show that there exists a number c satisfying 0 lt c lt 2 and f'(c)=3g'(c) .

f(x) and g(x) are differentiable functions for 0 <= x <= 2 such that f(0) = 5, g(0) = 0, f(2)= 8,g(2) = 1. Show that there exists a number c satisfying 0 < c < 2 and f'(c)=3 g'(c).

f(x) and g(x) are two differentiable functions in [0,2] such that f(x)=g(x)=0,f'(1)=2,g'(1)=4,f(2)=3,g(2)=9 then f(x)-g(x) at x=(3)/(2) is

f(x) and g(x) are two differentiable functions in [0,2] such that f(x)=g(x)=0,f'(1)=2,g'(1)=4,f(2)=3,g(2)=9 then f(x)-g(x) at x=(3)/(2) is

Let f and g be differentiable on [0,1] such that f(0)=2,g(0),f(1)=6 and g(1)=2. Show that there exists c in(0,1) such that f'(c)=2g'(c)

If f (x) and g (x) are twice differentiable functions on (0,3) satisfying, f ''(x) = g'' (x), f '(1) =4, g '(1) =6,f (2) = 3, g (2)=9, then f (1) -g (1) is