Multiple Choice Questions
Short Answer TypeFind the maximum and the minimum values, if there be any, of f given by f(x) = 9x2 – 6x + 1, x ∊ R.
Find the maximum and the minimum values, if there be any, of f given by f(x) = x, x ∊ (0, 1).
Without using derivatives, find the maximum or minimum value of the function 9x2 + 12x + 2.
Find the maximum and minimum values, if any, of the following function without using the derivatives:
9x2 – 12x + 4
Find the maximum and minimum values, if any, of the following function without using the derivatives:
4x 2 + 28x + 49
Find the maximum and minimum values, if any, of the following function without using the derivatives:
x + 1, x ∊ (– 1, 1)
Find the maximum and minimum values, if any, of the following functions without using the derivatives:
x2
Find the maximum and minimum values, if any, of the following functions without using the derivatives:
– (x – 2 )2 + 4
Let f (x) = – (x – 2)3 + 4
Now ( x – 2)2 ≥ 0 ∀ x ∊ R
⇒ – (x - 2)2 ≥ 0 ∀ x ∊ R ⇒ – (x – 2)2 + 4 ≤ 4 ∀ x ∊ R
∴ maximum value of f (x) is 4. It has no minimum value.
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