11 JEE Main 2013 Application of Derivatives previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2013 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 the surface area of a sphere of radius r is increasing uniformly at the rate 8 ~cm² / s, then the rate of change of…
Statement-1: The equation x x=2-x is satisfied by at least one value of x lying between 1 and 2. Statement-2: The funct…
Statement-1: The function x² (e^x+e⁻x ) is increasing for all x>0. Statement-2: The functions x² e^x and x² e⁻x are inc…
A spherical balloon is being inflated at the rate of 35 cc / min. The rate of increase in the surface area (in cm² / mi…
If a curve passes through the point (2, (7)/(2) ) and has slope (1-(1)/(x²) ) at any point (x, y) on it, then the ordin…
The intercepts on the x -axis made by tangents to the curve, y = ∫ 0 x t   d t ,   x ∈ R , which…
The maximum area of a right angled triangle with hypotenuse h is :
Let f(1)=-2 and fⁱme(x) ≥ 4.2 for 1 ≤ x ≤ 6. The possible value of f(6) lies in the interval :
If an equation of a tangent to the curve, y- (x+f),-1-1 ≤ x ≤ 1+π, is x+2 y=k then k is equal to :
If the curves (x²)/(α)+(y²)/(4)=1 and y³=16 x intersect at right angles, then a value of α is :
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