Q26 of 137 Page 19

#Mark the correct alternative in each of the following
The maximum value of on [–1, 1] is

Differentiating f(x) with respect to x, we get

Since 4-x²>0 ∀ x∈[-1,1] and (4+x+x²)²>0 ∀ x∈R

Therefore, f’(x)>0 ∀ x∈[-1,1]

Hence, f(x) is increasing in [-1,1] and therefore the maximum value of f(x) occurs at x=1 and

#Mark the correct alternative in each of the following

f(x) = 1 + 2 sinx + 3cos² x, 0 ≤ x ≤ is

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The function f(x) = 2x³ – 15x² + 36x + 4 is maximum at x =

#Mark the correct alternative in each of the following

Let f(x) = 2x³ – 3x² – 12x + 5 on [–2, 4]. The relative maximum occurs at x =

#Mark the correct alternative in each of the following

The minimum value of x log_e x is equal to

#Mark the correct alternative in each of the followingThe maximum value of on [–1, 1] is