If f and g are differentiable functions in [0, 1] satisfying `f(0)=2=g(1),g(0)=0" and "f(1)=6`, then for some `c in [0,1]`-

If f and g are differentiable functions in [0,1] satifying f(0)=2=g(1),g(0)=0 and f(1) =6 , then for some c in (0,1)

If f(x) and g(x) are differentiable functions for 0lexle1 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 function for 0lexle1 such that f(0)=2,g(0)=0,f(1)=6,g(1)=2 , then show that these exist c satisfying 0ltclt1andf'(c)=2g'(c)

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) 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),g(x) be twice differentiable functions on [0,2] satisfying f''(x)=g''(x)f'(1)=2g'(1)=4 and f(2)=3g(2)=9 then f(x)-g(x) at x=4 equals (A) 0 (B) 10 (C) 8 (D) 2

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 -

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