engineering mathematics MCQ #780

engineering mathematics MCQ #780

1. Question 1

   Q1. If y = (x + √(x² + 1))³, find dy/dx

   • A) 3(x + √(x² + 1))² (1 + x/√(x² + 1))
   • B) 3(x + √(x² + 1))²
   • C) (x + √(x² + 1))² (1 + x/√(x² + 1))
   • D) (x + √(x² + 1)) (1 + x/√(x² + 1))

   Answer: 3(x + √(x² + 1))² (1 + x/√(x² + 1))

   Explanation: Using the chain rule, dy/dx = 3(x + √(x² + 1))² * d(x + √(x² + 1))/dx = 3(x + √(x² + 1))² * (1 + x/√(x² + 1))