Home
Class 12
MATHS
Let f be a twice differentiable function...

Let f be a twice differentiable function defined on R such that f(0) = 1, f'(0) = 2 and `f '(x) ne 0` for all `x in R`. If `|[f(x)" "f'(x)], [f'(x)" "f''(x)]|= 0`, for all `x in R`, then the value of f(1) lies in the interval:

Promotional Banner

Similar Questions

Explore conceptually related problems

Let f be a differentiable function defined on R such that f(0) = -3 . If f'(x) le 5 for all x then

For all twice differentiable functions f : R to R , with f(0) = f(1) = f'(0) = 0

Let f:R rarr R be a twice differentiable function such that f(x+pi)=f(x) and f'(x)+f(x)>=0 for all x in R. show that f(x)>=0 for all x in R .

Let f be a differentiable function defined for all x in R such that f(x^(3))=x^(5) fol all x in R,xne0 . Then the value of f'(8) , is

Let f be a differentiable function such that f(0)=e^(2) and f'(x)=2f(x) for all x in R If h(x)=f(f(x)) ,then h'(0) is equal to

Let f is twice differerntiable on R such that f (0)=1, f'(0) =0 and f''(0) =-1, then for a in R, lim _(xtooo) (f((a)/(sqrtx)))^(x)=

Let f be a twice differentiable defined on R such that f(0)=1,f'(0)=2 . If |[f(x),f'(x)],[f'(x),f''(x)]|=0 AA n in R , then the value of f(1) lie in the interval

Let f(x) be a differentiable function on x in R such that f(x+y)=f(x). F(y)" for all, "x,y . If f(0) ne 0, f(5)=12 and f'(0)=16 , then f'(5) is equal to

Let f(x) is a differentiable function on x in R , such that f(x+y)=f(x)f(y) for all x, y in R where f(0) ne 0 . If f(5)=10, f'(0)=0 , then the value of f'(5) is equal to

If f:R rarr R is a differentiable function such that f(x)>2f(x) for all x in R and f(0)=1, then