List of top Mathematics Questions on Applications of Derivatives asked in MET

The equation of the tangent to the curve \(y = (2x-1)e^{2(1-x)}\) at the point of its maximum, is

If an isosceles triangle of vertical angle \(2\theta\) is inscribed in a circle of radius \(a\). Then, area of the triangle is maximum, when \(\theta\) is equal to

A cone whose height is always equal to its diameter, is increasing in volume at the rate of \(40 \text{ cm}^3/\text{s}\). At what rate is the radius increasing when its circular base area is \(1 \text{ m}^2\)?

If a particle is moving such that the velocity acquired is proportional to the square root of the distance covered, then its acceleration is