Home
Class 12
MATHS
Let f be a continuous function satisfyin...

Let f be a continuous function satisfying `f '(I n x)=[1` for `0< x<= 1, x` for `x > 1` and `f (0) = 0` then `f(x)` can be defined as

Promotional Banner

Similar Questions

Explore conceptually related problems

Let f be a continuous function satisfying f '(l n x)=[1 for 0 1 and f (0) = 0 then f(x) can be defined as (a) f(x)={(1 , "if"x le 0 ),(1-e^(x), "if" x gt 0 ):} " " (b) f(x)={(1,"if" x le 0 ),(e^(x)-1,"if" x gt 0):} (c) f(x)={(x,"if" x lt 0),(e^(x),"if" x gt 0 ):} " " (d) f(x)={(x,"if" x le 0 ),(e^(x)-1,"if" x gt 0):}

Let f be a continuous function satisfying f '(l n x)=[1 for 0 1 and f (0) = 0 then f(x) can be defined as

Let f be a continuous function satisfying f'(In x)=[1 for 0 1 and f(0)=0 then f(x) can be defined as

If f(x) is a continuous function satisfying f(x)f(1/x) =f(x)+f(1/x) and f(1) gt 0 then lim_(x to 1) f(x) is equal to

Let f(x) be a continuous function such that f(0) = 1 and f(x)=f(x/7)=x/7 AA x in R, then f(42) is

Let f(x) be a continuous function such that f(0) = 1 and f(x)-f (x/7) = x/7 AA x in R , then f(42) is

If a continuous function f satisfies int_(0)^(f(x))t^(3)dt=x^(2)(1+x) for all x>=0 then f(2)

Let f:[0,1]rarr[0,1] be a continuous function such that f(f(x))=1f or allx in[0,1] then

Let f : [0, 1] rarr [0, 1] be a continuous function such that f (f (x))=1 for all x in[0,1] then: