JEE Main 2020 — Differentiation Questions with Solutions

Let f x = sin tan - 1 x + sin cot - 1 x 2 - 1 , x > 1 . If d y d x = 1 2 d d x sin - 1 f x and y 3 = π 6 , the…

Let y = y x be a function of x satisfying y 1 - x 2 = k - x 1 - y 2 where k is a constant and y 1 2 = - 1 4 .Then d y d…

If y α = 2 t a n α + c o t α 1 + t a n 2 α + 1 s i n 2 α ,   α ∈ 3 π 4 ,…

If x = 2 sin θ - sin 2 θ and y = 2 cos θ - cos 2 θ ,  θ ∈ 0 , 2 π , then d 2 y…

If y 2 + log e cos 2 x = y ,    x ∈ - π 2 , π 2 then :

Let f and g be differentiable functions on R such that f o g is the identity function. If for some a , b ∈ R , g…

The derivative of tan - 1 1 + x 2 - 1 x with respect to tan - 1 2 x 1 - x 2 1 - 2 x 2 at x = 1 2 is :

Let x k + y k = a k , a , k > 0 and d y d x + y x 1 3 = 0 , then k is

If a + 2 b cos x ) ( a - 2 b cos y = a 2 - b 2 , where a > b > 0 , then d x d y at π 4 , π 4 is:

Let f be any function continuous on a , b and twice differentiable on a , b . If all x ∈ a , b , f ' x > 0 an…