14 JEE Main 2019 Continuity and Differentiability previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2019 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 = m a x x ,   x 2 , x ≤ 2 8 - 2 x , 2 < x ≤ 4 . Let S be the set of points in the interval…
If the function f defined on π 6 , π 3 by f x = 2 c o s x - 1 c o t x - 1 ,   x ≠ π 4 k , …
If the function f x = a π - x + 1 ,     x ≤ 5 b x - π + 3 ,     x > 5 is co…
Let f x = 15 – x   – 10 ;   x ∈ R . Then the set of all values of x , at which the function…
Let f : - 1 ,   1 → R be a function defined by f x = m a x - x ,   - 1 - x 2 . If K be the set of all p…
If   f x = s i n ( p + 1 ) x + s i n x x , x < 0 q , x = 0 x + x 2 - x x 3 / 2 , x > 0 is continuous at x…
Let S be the set of all points in - π , π at which the function, f x = min sin x ,   cos x is not differ…
Let f : R → R be differentiable at c ∈ R and f c = 0 . If g x = f x , then at x = c ,   g is:
Let f : - 1,3 → R   be defined as f x = x + x , x + x , x + x , - 1 ≤ x < 1 1 ≤ x < 2 2…
Let K be the set of all real values of x where the function f(x)= |x|-|x|+2(x-π) |x| is not differentiable. Then the se…
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