9 JEE Main 2014 Application of Derivatives previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2014 previous-year questions from the Application of Derivatives chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Application of Derivatives chapter hub.
If f &   g are differentiable functions in [ 0 ,   1 ]   satisfying f 0 = 2 = g 1 ,   g 0 = 0 &…
If the volume of a spherical ball is increasing at the rate of 4 π   cc / sec then the rate of increase of it…
If x = - 1 and x = 2 are extreme points of f x = α log x + β x 2 + x , then
For the curve y=3 θ θ, x=e^θ θ, 0 ≤ θ ≤ π, the tangent is parallel to x-axis when θ is:
If f x = 3 5 x + 4 5 x - 1 ,   x ∈ R , then the equation f x = 0 has :
The volume of the largest possible right circular cylinder that can be inscribed in a sphere of radius =√(3) is:
If the Rolle's theorem holds for the function f x = 2 x 3 + a x 2 + b x in the interval − 1 , 1 for the point c =…
The slope of the line touching both the parabolas y 2 = 4 x and x 2 = - 32 y is
If non-zero real numbers b and c are such that m i n   f x > m a x   g x , where f x = x 2 + 2 b x + 2 c…