A solid cube changes its volume such that its shape remains unchanged. For such a cube of unit volume, what will be the value of rate of change of volume?

3/8*(rate of change of area of any face of the cube)

3/4*(rate of change of area of any face of the cube)

3/10*(rate of change of area of any face of the cube)

3/2*(rate of change of area of any face of the cube)

15 + Mcqs in Application of Derivative in Mathematics Page 1 McqOptions

Explore topic-wise MCQs in Mathematics.

Water is flowing into a right circular conical vessel, 45 cm deep and 27 cm in diameter at the rate of 11 cc per minute. How fast is the water level rising when the water is 30 cm deep?

A particle moving in a straight line covers a distance of x cm in t second, where x = t3 + 6t2 15t + 18. When does the particle stop?

A particle moving in a straight line covers a distance of x cm in t second, where x = t3 + 6t2 15t + 18. What will be the acceleration of the particle at the end of 2 seconds?

A particle moving in a straight line covers a distance of x cm in t second, where x = t3 + 6t2 15t + 18. What will be the velocity of the particle at the end of 2 seconds?

A ladder 20 ft long leans against a vertical wall. If the top end slides downwards at the rate of 2ft per second, what will be the rate at which the slope of the ladder changes?

A 5 ft long man walks away from the foot of a 12( ) ft high lamp post at the rate of 3 mph. What will be the rate at which the shadow increases?

A solid cube changes its volume such that its shape remains unchanged. For such a cube of unit volume, what will be the value of rate of change of volume?

The time rate of change of the radius of a sphere is 1/2 . When it s radius is 5cm, what will be the rate of change of the surface of the sphere with time?

What will be the value of the co-ordinate whose position of a particle moving along the parabola y2 = 4x at which the rate at of increase of the abscissa is twice the rate of increase of the ordinate?

What will be the average rate of change of the function [y = 16 x2] at x = 4?

What will be the average rate of change of the function [y = 16 x2] between x = 3 and x = 4?

What will be the differential function of log(x2 + 4)?

What will be the differential function of (x2 + 2)?

The value of f (x) is -1 at the point P on a continuous curve y = f(x). What is the angle which the tangent to the curve at P makes with the positive direction of x axis?

What is the slope of the tangent to the curve y = 2x/(x2 + 1) at (0, 0)?

A particle moving in a straight line covers a distance of x cm in t second, where x = t³ + 6t² 15t + 18. When does the particle stop?

A particle moving in a straight line covers a distance of x cm in t second, where x = t³ + 6t² 15t + 18. What will be the acceleration of the particle at the end of 2 seconds?

A particle moving in a straight line covers a distance of x cm in t second, where x = t³ + 6t² 15t + 18. What will be the velocity of the particle at the end of 2 seconds?

What will be the value of the co-ordinate whose position of a particle moving along the parabola y² = 4x at which the rate at of increase of the abscissa is twice the rate of increase of the ordinate?

What will be the average rate of change of the function [y = 16 x²] at x = 4?

What will be the average rate of change of the function [y = 16 x²] between x = 3 and x = 4?

What will be the differential function of log(x² + 4)?

What will be the differential function of (x² + 2)?

What is the slope of the tangent to the curve y = 2x/(x² + 1) at (0, 0)?