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Numerade Educator

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Problem 15 Medium Difficulty

Use Newton's method to approximate the indicated root of the equation correct to six decimal places.

The negative root of $ e^x = 4 - x^2 $

Answer

$x=-1.964636$

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Video Transcript

The first thing we can do in regards to Newton's method is to get the derivative because we need this for Newton's method. This is either the Expos. Two acts. Now we know Axe one is negative. Chew. That's our guests. Therefore X of two, his negative two minutes off off problem. Negative, too. It's just Newton's method, which is negative. 1.96 acts of three repeating the same processes negative 1.96 and, except for is negative 1.96 indicating that X is gonna be negative. 1.96 four Sex 36