Home
Class 12
MATHS
If f and g are differentiable functions ...

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[` (1) `2f^'(c)""=g^'(c)` (2) `2f^'(c)""=""3g^'(c)` (3) `f^'(c)""=g^'(c)` (4) `f'(c)""=""2g'(c)`

Promotional Banner

Similar Questions

Explore conceptually related problems

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 and g are differentiable functions for 0 le x le 1 such that f(0) = 2, g(0), f (1) = 6, g (1) = 2 , then show that there exists c satisying 0 < c < 1 and f' (c ) = 2g' ( c)

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

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)

Let f(x) and g(x) be differentiable functions for 0 le x le 1 such that f(0) = 2, g(0) = 0, f(1) = 6 . Let there exist a real number c in (0,1) such that f ’(c) = 2 g ’(c), then g(1) =