Skip to content
MathsGenie logo
Quick links
Open app

Course home

  1. A Level
  3. Maths OCR (MEI)
  5. Question bank

1.10.4 Newton-Raphson method (A-level only)

MediumHard
12345678910111213141516171819
Question 7

f(x)=2x3−6x+3xx>0f(x) = 2x^3 - 6x + 3\sqrt{x} \quad x > 0f(x)=2x3−6x+3x​x>0

a.

Show that f(x)=0f(x) = 0f(x)=0 has a root in the interval [1.2,1.3][1.2, 1.3][1.2,1.3]

[2]
b.

Find f′(x)f'(x)f′(x)

[3]
c.

Starting with x0=1.25x_0 = 1.25x0​=1.25, apply the Newton-Raphson procedure once to find an approximate solution to the equation f(x)=0f(x) = 0f(x)=0 giving your answer to 3 decimal places.

[3]

1.10.4 Newton-Raphson method (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.10.4 Newton-Raphson method (A-level only)