Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: R

There are no items in this cart.
Continue Shopping
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

Get extra R 550 off


please tell me the derivative method to find out the total number of roots of any equation

6 years ago


Answers : (1)

										Hello student,
please find the answer to your question below
Newton's method assumes the function f to have a continuous derivative. Newton's method may not converge if started too far away from a root. However, when it does converge, it is faster than the bisection method, and is usually quadratic. Newton's method is also important because it readily generalizes to higher-dimensional problems. Newton-like methods with higher orders of convergence are the Householder's methods. The first one after Newton's method is Halley's method with cubic order of convergence.
[x : f(x) = 0]
The Newton–Raphson method in one variable is implemented as follows:
Given a function ƒ defined over the reals x, and its derivative ƒ', we begin with a first guess x0 for a root of the function f. Provided the function satisfies all the assumptions made in the derivation of the formula, a better approximation x1 is
[x{1} = x0 - {f(x0)}/{f'(x0)}
Geometrically, (x1, 0) is the intersection with the x-axis of the tangent to the graph of f at (x0, f (x0)).
The process is repeated as
[x{n+1} = xn -{f(xn)}/{f'(x_n)}
until a sufficiently accurate value is reached.
2 years ago

Post Your Answer

Other Related Questions on Algebra

find the sum of the given series. description given in the image
Harsh Patodia one month ago
(r 2 +1) . r! = (r 2 +2r+1).r! -2r.r! = (r+1) 2 r! – 2r.r! = (r+1) (r+1)r! – 2r.r! = (r+1).(r+1)! – r.r! – r.r! =[(r+1).(r+1)! – r.r!] – [(r+1)! – r!] Thus, the summation is seen to be sum...
mycroft holmes one month ago
If for an AP A1,A2, A1+A3+A5=-12 and A1*A2*A3=8. Find the value of A2+A4+A6.
Shorter method Let d be the common difference . (A3-2d)+ A3 + (A3+2d) = -12 and A3 = -4 (A3-2d)* (A3-d) *(A3) = 8 Solve for d Now A2+A4+A6 = (A3-d) + (A3+d) + (A3+2d). Substitute values for ...
Ajay 2 months ago
Let d be the common difference . A1+ (A1+2d) + (A1+4d) = -12 and A1*(A1+2d) *(A1+4d) = 8 and solve equations for A1 and d Now A2+A4+A6 = (A1+d) + (A1+3d) + (A1+5d). Substitute values for A1 ...
Ajay 2 months ago
If |z|=2 the -1+5z lie on 1)parabola. 2)hyperbola. 3)circle
put z = x+ iy wwe get, x^2 + y^2 = 4...........................(1) The coordinate -1 + 5z becomes, (5x – 1, 5y) put it in eqn. (1) we get, (5x – 1)^2 + (5y)^2 = 4 25x^2 + 1 – 10x + 25y^2 =...
Vikas TU 25 days ago
the radius of two circles r1=3 and r2=4 and two circles cut cut orthogonally the area between two circles
Condition for orthogonality of 2 circles is so d=5 So length of common chord is 4.8 ( by pythagoras ) Thanks
Nishant Vora one month ago
the point of intersection of the tangents to the parabola y^2=4ax at the points t1 and t2 is....
Simply write the eqn. of tangent for parabola y^2 = 4ax in parametric form with t1 and t2 respectively. And then solve them . that is to say that: t1y = x + at1^2 …..................(1) and ...
Vikas TU 2 months ago
View all Questions »

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 3,750 off

Get extra R 550 off

More Questions On Algebra

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!!
Click Here for details