Question:
Consider the following statements: I. f(x) is an increasing function. II. f(x) has local maximum at x = 0 Which of the statements given above is/are correct?
Consider the following statements: I. f(x) is an increasing function. II. f(x) has local maximum at x = 0 Which of the statements given above is/are correct?
Options:
- a) I only
- b) II only
- c) Both I and II
- d) Neither I nor II Direction for Questions (65-66): Consider the following for the two (02) items that follow: The function f(x) satisfies f x y = fx fy () () for all positive real values of x and y, and f(2) = 3
- a) I only
- b) II only
- c) Both I and II
- d) Neither I nor II Direction for Questions (65-66): Consider the following for the two (02) items that follow: The function f(x) satisfies f x y = fx fy () () for all positive real values of x and y, and f(2) = 3
correct answer : d)
Explanation:
f(x) = x2 + 9
f'(x) = 2x = 0 Þ x = 0
– +
|
– ¥ 0 ¥
\ f(x) is increasing on [0, ¥]
and f(x) is decreasing on (-¥, 0)
So, f(x) is minimum at x = 0
Hence both statements are wrong.
f(x) = x2 + 9
f'(x) = 2x = 0 Þ x = 0
– +
|
– ¥ 0 ¥
\ f(x) is increasing on [0, ¥]
and f(x) is decreasing on (-¥, 0)
So, f(x) is minimum at x = 0
Hence both statements are wrong.