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Class 12 Maths Practice Test - Calculus Application - Maxima and Minima
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Class 12 Maths Practice Test - Calculus Application

Class 12 Maths Practice Test - Calculus Application - Maxima and Minima
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18 Questions

1. What is the nature of the function f(x) = 2/3(x3) – 6x2 + 20x – 5?
2. A particle is moving in a straight line and its distance x from a fixed point on the line at any time t seconds is given by, x = t4/12 – 2t3/3 + 3t2/2 + t + 15. What is the minimum velocity?
3. What will be the minima for the function f(x) = x4 – 8x3 + 22x2 – 24x + 8?
4. What will be the point of minimum of the function 2x3 + 3x2 – 36x + 10?
5. Given, f(x) = x3 – 12x2 + 45x + 8. At which point does f(x) has its minimum?
6. What will be the values of x for which the value of cosx is minimum?
7. Given, f(x) = x3 – 12x2 + 45x + 8. What is the minimum value of f(x)?
8. Given, f(x) = x3 – 12x2 + 45x + 8. What is the minimum value of f(x)?
9. What will be the nature of the equation sin(x + α)/sin(x + β)?
10. What will be the maxima for the function f(x) = x4 –8x3 + 22x2 –24x + 8?
11. What will be the maxima for the function f(x) = x4 –8x3 + 22x2 –24x + 8?
12. A particle is moving in a straight line and its distance x from a fixed point on the line at any time t seconds is given by, x = t4/12 – 2t3/3 + 3t2/2 + t + 15. At what time is the velocity minimum?
13. A particle is moving in a straight line and its distance x from a fixed point on the line at any time t seconds is given by, x = t4/12 – 2t3/3 + 3t2/2 + t + 15. What is the minimum velocity?
14. Given, f(x) = x3 – 12x2 + 45x + 8. At which point does f(x) has its maximum?
15. What will be the point of minimum of the function 2x3 + 3x2 – 36x + 10?
16. What will be the values of x for which the value of cosx is minimum?
17. Given, f(x) = x3 – 12x2 + 45x + 8. What is the maximum value of f(x)?
18. For which value of x will (x – 1)(3 – x) have its maximum?

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