9 JEE Main 2019 Differentiation previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2019 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 x e ( e x )-x²+y²=4(y>0), then (d y)/(d x) at x=e is equal to :
If 2 y = cot - 1 3 cos x + sin x cos x - 3 sin x 2   ∀ x ∈ 0 , π 2 , then d y d x   is equal…
Let f be a differentiable function such that f 1 = 2 and f ' x = f x for all x ∈ R . If h x = f f x , then h ' 1…
If e y + x y = e , the ordered pair d y d x , d 2 y d x 2 at x = 0 is equal to
If f 1 = 1 , f ' 1 = 3 , then the derivative of f f f x + f x 2 at x = 1 is:
If x = 3   t a n t and y = 3   s e c t , then the value of d 2 y d x 2 at t = π 4 , is:
The derivative of t a n - 1 s i n x - c o s x s i n x + c o s x with respect to x 2 , where x ∈ 0 , π 2 , is
Let, f : R → R be a function such that f x = x 3 + x 2 f ' 1 + x f '' 2 + f ''' 3 ,   ∀ x ∈ R .…
For x > 1 , if 2 x 2 y = 4 e 2 x - 2 y , then 1 + log e ⁡ 2 x 2   d y d x is equal to