JEE Main 2024 — Application of Derivatives Questions with Solutions

The number of critical points of the function f(x)=(x-2)² / ³(2 x+1) is

Let f: R → R be a thrice differentiable function such that f(0)=0, f(1)=1, f(2)=-1, f(3)=2 and f(4)=-2. Then, the minim…

The interval in which the function f(x)=x^x, x>0, is strictly increasing is

Let g : R → R be a non constant twice differentiable such that g ' 1 2 = g ' 3 2 . If a real valued function f is defin…

Let f x = x + 3 2 x - 2 3 , x ∈ [ - 4 , 4 ] . If M and m are the maximum and minimum values of f , respectively in [ -…

Let the set of all positive values of λ, for which the point of local minimum of the function (1+x (λ²-x² ) ) satisfies…

Let a rectangle A B C D of sides 2 and 4 be inscribed in another rectangle P Q R S such that the vertices of the rectan…

Let f(x)=3 √(x-2)+√(4-x) be a real valued function. If α and β are respectively the minimum and the maximum values of f…

The function f x = 2 x + 3 x 2 3 , x ∈ R , has

If 5 f x + 4 f 1 x = x 2 − 2 , ∀ x ≠ 0 and y = 9 x 2 f x , then y is strictly increasing in: