JEE Main 2019 — Application of Derivatives Questions with Solutions

The height of a right circular cylinder of maximum volume inscribed in a sphere of radius 3 is:

The shortest distance between the line y = x and the curve y 2 = x – 2 is

The maximum volume i n   c u . m of the right circular cone having slant height 3   m is:

If θ denotes the acute angle between the curves, y = 10 - x 2 and y = 2 + x 2 at a point of their intersection, th…

A helicopter is flying along the curve given by y - x 3 2 = 7 ,   x ≥ 0 . A soldier positioned at the point…

If the function f given by f x = x 3 - 3 a - 2 x 2 + 3 a x + 7 , for some a ∈ R is increasing in 0 ,   1 and…

A 2 m ladder leans against a vertical wall. If the top of the ladder begins to slide down the wall at the rate 25 c m /…

The shortest distance between the point 3 2 , 0 and the curve y = x , x > 0 , is

Given that the slope of the tangent to a curve y = y ( x ) at any point x , y is 2 y x 2 . If the curve passes through…

Let f : 0 ,   2 → R be a twice differentiable function such that f ' ' x > 0 , for all   x ∈…