18 JEE Main 2022 Continuity and Differentiability previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2022 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.
The number of points, where the function f : R → R ,   f x = x - 1 cos x - 2 sin x - 1 + x - 3 x 2 - 5 x + 4…
If t denotes the greatest integer ≤ t , then number of points, at which the function f x = 4 2 x + 3 + 9 x + 1 2…
f , g : R → R be two real valued function defined as f x = - x + 3 , x < 0 e x , x ≥ 0 and g x = x 2 +…
Let f x = 2 + x - x - 1 + x + 1 ,   x ∈ R . Consider S 1 : f ' - 3 2 + f ' - 1 2 + f ' 1 2 + f ' 3 2 = 2 S 2…
Let f : ℝ → ℝ be defined as f x = e x , x < 0 a e x + x - 1 , 0 ≤ x < 1 b + sin π…
Let f x = 4 x 2 - 8 x + 5 , if   8 x 2 - 6 x + 1 ≥ 0 4 x 2 - 8 x + 5 , if   8 x 2 - 6 x + 1 < 0 , w…
Let f : R → R be a function defined by : f x = max t ≤ x t 3 - 3 t ; x ≤ 2 x 2 + 2 x - 6 ; 2 < x…
Let the function f x = log e 1 + 5 x - log e 1 + α x x if   x ≠ 0 10 if   x = 0 be continuous at x…
Let f x = sin x - x x - x , x ∈ - 2 , - 1 max 2 x , 3 x , x < 1 1 , otherwise where t denotes greatest intege…
Let f x = min 1 , 1 + x sin x , 0 ≤ x ≤ 2 π . If m is the number of points, where f is not differentia…
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