8 JEE Main 2022 Differentiation previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2022 previous-year questions from the Differentiation chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Differentiation chapter hub.
If cos - 1 y 2 = log e x 5 5 , y < 2 , then
If y x = x x x , x > 0 then d 2 x d y 2 + 20 at x = 1 is equal to
The value of log e 2 d dx log cos x cosec x at x = π 4 is
Let f : R → R be defined as f x = x 3 + x - 5 . If g x is a function such that f g x = x , ∀ x ∈ R ,…
If y = tan - 1 sec x 3 - tan x 3 , π 2 < x 3 < 3 π 2 , then
Let f : ℝ → ℝ satisfy f x + y = 2 x f y + 4 y ( f x , ∀ x , y ∈ ℝ . If f 2 = 3 , th…
Let x t = 2 2 cos t sin 2 t and y t = 2 2 sin t sin 2 t , t ∈ 0 , π 2 . Then 1 + d y d x 2 d 2 y dx 2 at t =…
For the curve C : x 2 + y 2 - 3 + x 2 - y 2 - 1 5 = 0 , the value of 3 y ' - y 3 y ' ' , at the point α , α ,…