Determine the maximum of following function by employing bis

Determine the maximum of following function by employing bisection method for [0, 1]. Calculate the approximate percent relative error and continue the iterations until this error is less than 5%: f(x) = -2x^6 -1, 5x^4 + 10x + 2

Solution

The approximation error in some data is the discrepancy between an exact value and some approximation to it. An approximation error can occur because

In the mathematical field of numerical analysis, the numerical stability of an algorithm in numerical analysis indicates how the error is propagated by the algorithm.

Use root location technique or bracketing technique to solve the above equation for the given iterations.