Question

Use False position method determine the root of the equation

Cosx –xe⁴=0

Answer 1

$$f(x)=cosx-xe^4$$

$$\frac {df}{dx}=-sinx-e^4$$

$$sin x=-e^4$$

This function has no extremum points.

$$x_i=\frac {af(b)-bf(a)}{f(b)-f(a)}$$

answer: 0.0185