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Class 12 Maths Practice Test - Maxima and Minima
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Class 12 Maths Practice Test - Maxima and Minima
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15 Questions

1. What is the condition for a function f to be decreasing if f be continuous and differentiable on (a,b)?
2. What is the relation between f(x) and ℓ when the minimum value or least value function f is defined on a set A and ℓ ∈ f(A)?
3. What is a monotonically increasing function?
4. What is the mathematical expression for monotonically decreasing function?
5. What is the condition for a function f to be strictly decreasing if f be continuous and differentiable on (a,b)?
6. What is the mathematical expression for monotonically non-increasing function?
7. Monotonically increasing functions are usually referred to as decreasing functions.
8. What is the condition for a function f to be increasing if f be continuous and differentiable on (a,b)?
9. What is the condition for a function f to be constant if f be continuous and differentiable on (a,b)?
10. What is the mathematical expression for a function to be strictly decreasing on (a,b)?
11. What is the relation between f(x) and ℓ when the maximum value or greatest value function f is defined on a set A and ℓ ∈ f(A)?
12. What is the mathematical expression of non-decreasing function?
13. What is the mathematical expression for a function to be strictly increasing on (a,b)?
14. What is the condition for a function f to be strictly increasing if f be continuous and differentiable on (a,b)?
15. A monotonic function on [a,b] is either a monotonically increasing or monotonically decreasing function.