Home
Class 12
MATHS
Statement 1: If f(x) is differentiab...

Statement 1: If `f(x)` is differentiable in `[0,1]` such that `f(0)=f(1)=0,` then for any `lambda in R ,` there exists `c` such that `f^prime`(c)`=lambda`f(c),`0ltclt1.` statement 2: if `g(x)` is differentiable in [0,1], where `g(0) =g(1),` then there exists `c` such that `g^prime`(c)=0,

Promotional Banner

Similar Questions

Explore conceptually related problems

Let fa n dg be differentiable on [0,1] such that f(0)=2,g(0)=0,f(1)=6 and g(1)=2. Show that there exists c in (0,1) such that f^(prime)(c)=2g^(prime)(c)dot

Let fa n dg be differentiable on [0,1] such that f(0)=2,g(0)=0,f(1)=6a n dg(1)=2. Show that there exists c in (0,1) such that f^(prime)(c)=2g^(prime)(c)dot

Let fa n dg be differentiable on [0,1] such that f(0)=2,g(0),f(1)=6a n dg(1)=2. Show that there exists c in (0,1) such that f^(prime)(c)=2g^(prime)(c)dot

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)

A function f(x) is differentiable at x=c(c in R). Let g(x)=|f(x)|,f(c)=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

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

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