The derivative of cos⁻¹(4x³ - 3x) with respect to x for 1/2 < x < 1 is:

Type: MCQ • Marks: 1

A. -3 / √(1 - x²)

B. 3 / √(1 - x²)

C. 3 / (1 + x²)

D. 1 / √(1 - x²)

Explanation

Let x = cos θ => cos⁻¹(cos 3θ) = 3θ = 3 cos⁻¹ x => derivative is -3 / √(1 - x²).

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