SOLUTION: Find a root of an equation f(x)=2coshxsinx-1 taking initial value x0=0.4, using Newton Raphson method correct up to four decimal places

Algebra.Com
Question 1160366: Find a root of an equation f(x)=2coshxsinx-1 taking initial value x0=0.4, using Newton Raphson method correct up to four decimal places
Answer by ikleyn(52804)   (Show Source): You can put this solution on YOUR website!
.

Go to  WEB-site 


https://keisan.casio.com/exec/system/1244946907


and use the Newton-Raphson method online calculator there.



Input the given function in one window.


Input its derivative  2*sin(x)*sinh(x) + 2*cos(x)*cosh(x)  in the other window.


Set up the number of iterations and the desired accuracy.


Press the "Execute" button.


You will get the solution in a second, with step-by-step printing.


After 4 iterations, the found root is  x = 0.4668337563 with 10 correct decimals.


RELATED QUESTIONS

Find a root of an equation f(x)=2coshxsinx-1 taking initial value x0=0.4, using Newton... (answered by ikleyn)
Find a root of an equation f(x)=2coshxsinx-1 taking initial value x_0=0.4, using Newton... (answered by solver91311)
Hi Can Someone please help Use the Newton-Raphson method to find a solution to four... (answered by stanbon)
3. By using the Newton-Raphson’s method find the positive root of the quadratic equation (answered by Edwin McCravy)
You want to approximate the cube root of 7 using the Newton-Raphson method. First,... (answered by Alan3354)
By using the Newton-Raphson’s method find the root of the quadratic equation X^3+logx... (answered by Fombitz)
How to differentiate the equation to find f'(x) to work it out using the Newton-Raphson... (answered by solver91311)
Hi, Stuck here with this particular problem, please can somebody help The equation... (answered by solver91311)
Evaluate √167 by Newton Raphson method correct up to four decimal places. Do all the... (answered by solver91311)