ISRO Electrical Engineering (EE) 2023 - Question 25

All ISRO Electrical Engineering (EE) papers | ISRO Electrical Engineering (EE) 2023

d/dx sin^-1(3x - 4x^3)

  • A. 3/√(1 - x^2)
  • B. -3/√(1 - x^2)
  • C. 1/√(1 - x^2)
  • D. -1/√(1 - x^2)

Answer: A. 3/√(1 - x^2)

Explanation: Using 3x - 4x³ = sin(3θ) with x = sin θ, sin^-1(3x - 4x³) = 3 sin^-1 x. Differentiating gives 3 / √(1 - x²).

| | All questions of ISRO Electrical Engineering (EE) 2023