Project ForgeEngineering Mathematics
Calculus
GATE 2016
Medium
The root of the function f(x) = x^3 + x - 1 obtained after the first iteration of the Newton-Raphson scheme, using an initial guess of x0 = 1, is
- A0.682
- B0.686
- 0.750
- D1.000
Explanation
x1 = x0 - f(x0)/f'(x0). f(1) = 1+1-1 = 1. f'(x) = 3x²+1, f'(1) = 4. x1 = 1 - 1/4 = 0.75.
Source: GATE ME 2016 Set-3 (2016)
This question is part of a 15-day revision cycle — sign in and Project Forge will bring it back the day before you'd forget it.