If f( x )= 1 1- x , then the derivative of the composite function f[f f(x) ] is equal to :

Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions

1. 0
2. \(\frac{1}{2}\)
3. 1
4. 2

Answer

(C) 1

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

• ^ -1 ( )- ^ -1 ( )= x , then sin x is equal to
• Set of values of x satisfying cos –1 x > sin –1 x
• If A = x : x = 3 n , n ≤ 6, n ∈ N B = x : x = 9 n , n ≤ 4, n ∈ N then which of the following is false ?
• The domain of the function f(x)= ^ -1 (3-x) (|x|-2)
• Let f( x )= _ x ^ 2 25 and g(x) = l og x 5 then f (x) = g (x) holds for x belonging to
• If ^ -1 1 1+2 + ^ -1 1 1+(2)(3) + ^ -1 1 1+(3)(4) + . .+ ^ -1 1 1+n(n+1) = ^ -1 , then θ =
• Let f (x) = sin x and g (x) = In |x|. If the ranges of the composition functions fog and gof are R 1 and R 2…
• Let N be the set of natural numbers and a relation R on N be defined by R= (x, y) N N: x^ 3 -3 x^ 2 y-x y^ 2…

More Sets, Relations and Functions questions · Browse all practice questions