NDA || Mathematics || Calculus || application of differentiation || Quiz 2020

Find the value of t for which the function f(t) =  is a decreasing function.

Find the percentage error in the area of a rectangle when an error of 2% is made in measuring its length and breadth.

Find the area of the largest rectangle having the perimeter of 400 metres.

Find the local minimum value of the function: f(t) =

Find the point of inflexion for the function :

The radius of the base of a cone is increasing at the rate of 3 cm/minute and the altitude is decreasing at the rate of 4 cm/minute. The rate of lateral surface when the radius is 7 cm and altitude 24cm is

If m is the slope of the tangent to the curve  ,then

The critical point of  is/are.

The largest term of the sequence  given by  is

If  satisfies the conditions for Rolle’s theorem on  ,then  equals