6 JEE Main 2021 Differentiation previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2021 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.
Let f : S → S where S = 0 , ∞ be a twice differentiable function such that f x + 1 = x f x . If g : S ͛…
Let f ( x ) = cos 2 tan - 1 sin cot - 1 1 - x x , 0 < x < 1 . Then:
If f x = sin cos - 1 1 - 2 2 x 1 + 2 2 x and its first derivative with respect to x is - b a log e 2 when x = 1 , where…
If y 1 / 4 + y - 1 / 4 = 2 x , and x 2 - 1 d 2 y d x 2 + α x d y   d x + β y = 0 , then | α - β…
If y = y ( x ) is an implicit function of x such that log e ( x + y ) = 4 x y , then d 2 y   d x 2 at x = 0 is equ…
If y ( x ) = cot - 1 1 + sin x + 1 - sin x 1 + sin x - 1 - sin x ,   x ∈ π 2 , π , then d y d x at…