12 JEE Main 2020 Continuity and Differentiability previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2020 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 · x 2 , for - 10 < x < 10 , where t denotes the greatest integer function. Then the number…
If the function f defined on - 1 3 , 1 / 3 by f x = 1 x l o g e 1 + 3 x 1 - 2 x , when  x ≠ 0 k , when …
Let f : ( 0 , ∞ ) → ( 0 , ∞ ) be a differentiable function such that f ( 1 ) = e and lim t → x…
If the function f x = k 1 ( x - π ) 2 - 1 , x ≤ π k 2 cos x , x > π is twice differentiable, t…
Let S , be the set of all functions f : 0 , 1 → R , which are continuous on 0 , 1 , and differentiable on 0 , 1 .…
Let S be the set of points where the function , f x = | 2 - | x - 3 | , x ∈ R , is not differentiable. Then ͨ…
The function f x = π 4 + tan - 1 x , x ≤ 1 1 2 x - 1 , x > 1 is :
Let t denote the greatest integer ≤ t and lim x → 0 ⁡ x 4 x = A . Then the function, f x = x 2 sin &#…
Let f : R → R be a function defined by f x = max   x , x 2 .Let S denote the set of all points in R ,where f…
If f x = s i n a + 2 x + s i n x x ; x < 0 b ; x = 0 x + 3 x 2 1 / 3 - x 1 / 3 x 1 / 3 ; x > 0 is continuous at…
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