Use Newton's method to find the coordinates of the inflection point of the curve y = ecos(x),

0 ≤ x ≤ π , correct to six decimal places.

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- May 15th 2010, 06:18 PMsheva2291Another Newton
Use Newton's method to find the coordinates of the inflection point of the curve y = ecos(x),

0 ≤ x ≤ π , correct to six decimal places. - May 15th 2010, 11:02 PMCaptainBlack
- May 16th 2010, 02:26 AMHallsofIvy
Do you mean $\displaystyle y= e^{cos x}$?

As Captain Black said, an inflection point occurs at a local extremum of y' which, in turn, mean that y"= 0 (since y" always exists for this function).

Take the second derivative of this function, set it equal to 0 and use Newton's method to solve the equation.