If and g(x)= x an x where , then in this interval
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
If
and \(g(x)=\frac{x}{\ an x}\) where
, then in this interval
- both f (x) and g (x) are increasing functions
- both f (x) and g (x) are decreasing functions
- f (x) is an increasing functions
- g(x) is an increasing functions.
Answer
(A) both f ( x ) and g ( x ) are increasing functions
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- _ x 2 x-( x)^ x 1- x+ x equals
- For each t ∈ R , let [ t ] be the greatest integer less than or equal to t . Then _ x 0^ + x ( [ 1 x ]+ [ 2 x…
- If f ( a ) = 2, f ′ ( a ) = 1, g ( a ) = –1, g ′ ( a ) = 2 then the value of
- Consider the function f : (– ∞, ∞) → (– ∞, ∞) defined by Let g(x)= _ 0 ^ e^ x f^ (t) 1+t^ 2 d t Which of the…
- If F(x) = f (x) g (x) and f ’ (x) g ’ (x) = c, then
- Let f : (0, 1) → be the function defined as where n ∈ . Let g : (0, 1) → be a function such that _ x^ 2 ^ x…
- If f (x) = l og | 2x |, x ≠ 0, then f ′ (x) is equal to
- Limit _ y 0 ( Limit _ x (x (1+ a y x ) )- (x (1+ by x ) ) y )=
More Limit, Continuity and Differentiability questions · Browse all practice questions