11 JEE Main 2023 Continuity and Differentiability previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2023 previous-year questions from the Continuity and Differentiability chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Continuity and Differentiability chapter hub.
Let f x = x 2 - x + - x + x , where x ∈ ℝ and t denotes the greatest integer less than or equal to t . Then…
Let f x = x 2 sin 1 x ;     x ≠ 0 0 ;                   &#…
If the function f x = 1 + | cos   x | λ | cos   x | , 0 < x < π 2 μ , x = π 2 e c…
Let x denote the greatest integer function and f x = max 1 + x + x ,   2 + x ,   x + 2 x ,   0 ≤ x…
Let x be the greatest integer ≤ x . Then the number of points in the interval ( – 2 ,   1 ) where the…
Let f and g be two functions defined by f x = x + 1 ,             x < 0 x - 1 ,  …
Let f and g be twice differentiable functions on R such that f " x = g " x + 6 x f ' 1 = 4 g ' 1 - 3 = 9 f 2 =…
Let f : - 2 ,   2 → ℝ be defined by f x = x x , - 2 < x < 0 x - 1 x , 0 ≤ x < 2 wher…
Let k and m be positive real numbers such that the function f x = 3 x 2 + k x + 1 , 0 < x < 1 m x 2 + k 2 , x &…
Let a ∈ ℤ and t be the greatest integer ≤ t , then the number of points, where the function f x = a +…
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