Question

Secant method Write a function called secant that takes the following inputs \begin{itemize} \item f the equation whose root is to be determined \item xMinus1 the first initial guess \item x0 the second initial guess \item eTolerance the error tolerance in percentages \item maxlteration the maximum numbers of iterations \end{itemize} It then returns a Pandas DataFrame called result which contains the results from all iterations and has the following columns. \begin{itemize} \item iteration the iteration number \item xMinus1 the first guess \item x0 the second guess \item xr the new root \item relative error the calculated relative error \end{itemize} Your function needs to compute the root iteratively using the Secant method until the error tolerance condition has been met or the number of iterations has exceeded the maximum number of iterations. Root is computed as $x_{i+1} = x_i - f(x_i)\frac{x_i - x_{i-1}}{f(x_i) - f(x_{i-1})}$

          Secant method
Write a function called secant that takes the following inputs
\begin{itemize}
    \item f the equation whose root is to be determined
    \item xMinus1 the first initial guess
    \item x0 the second initial guess
    \item eTolerance the error tolerance in percentages
    \item maxlteration the maximum numbers of iterations
\end{itemize}
It then returns a Pandas DataFrame called result which contains the results from all iterations and has the following columns.
\begin{itemize}
    \item iteration the iteration number
    \item xMinus1 the first guess
    \item x0 the second guess
    \item xr the new root
    \item relative error the calculated relative error
\end{itemize}
Your function needs to compute the root iteratively using the Secant method until the error tolerance condition has been met or the number of iterations has
exceeded the maximum number of iterations.
Root is computed as $x_{i+1} = x_i - f(x_i)\frac{x_i - x_{i-1}}{f(x_i) - f(x_{i-1})}$

Secant method
Write a function called secant that takes the following inputs

* f the equation whose root is to be determined

* xMinus1 the first initial guess

* x0 the second initial guess

* eTolerance the error tolerance in percentages

* maxlteration the maximum numbers of iterations

It then returns a Pandas DataFrame called result which contains the results from all iterations and has the following columns.

* iteration the iteration number

* xMinus1 the first guess

* x0 the second guess

* xr the new root

* relative error the calculated relative error

Your function needs to compute the root iteratively using the Secant method until the error tolerance condition has been met or the number of iterations has
exceeded the maximum number of iterations.
Root is computed as xi+1 = xi - f(xi)(xi - xi-1)/(f(xi) - f(xi-1))

Added by Rebecca B.

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