8 JEE Main 2012 Application of Derivatives previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2012 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.
Consider a rectangle whose length is increasing at the uniform rate of 2 ~m / sec, breadth is decreasing at the uniform…
A spherical balloon is filled with 4500 ~π cubic meters of helium gas. If a leak in the balloon causes the gas to escap…
The weight W of a certain stock of fish is given by W=n w, where n is the size of stock and w is the average weight of…
If f(x)=x ex⁽¹⁻x⁾, x R, then f(x) is
Let f:(-∞, ∞) →(-∞, ∞) be defined by f(x)=x³+1 Statement 1: The function fhas a local extremum at x=0 Statement 2: The…
If a circular iron sheet of radius 30 ~cm is heated such that its area increases at the uniform rate of 6 π cm² / hr, t…
Let a, b R be such that the function f given by f(x)= |x|+b x²+a x, x ≠ 0 has extreme values at x=-1 and x=2. Statement…
If a metallic circular plate of radius 50 ~cm is heated so that its radius increases at the rate of 1 ~mm per hour, the…