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August 20, 2014

Homework Help: Calculus

Posted by Janet on Sunday, April 17, 2011 at 3:19pm.

Use Newton's Method to approximate the root of the function f(x)=e^x-5x when the intial point chosene is x1=1.5. Do two iterations.

This is what I did, but not working.
f'(x)=e^x-5
x2=1.5 - (e^1.5-(5(1.5))/e^1.5 -(5))
=1.5-(4.4817-7.5/4.4817-5)=1.5-5.8234= -4.3234

x3=-4.3234-(e^-4.3234-(5(-4.3234))/ e^-4.3234-(5)) = -4.3234-(21.630/-4.987)= -4.3234-(-4.337)=.0136

I did another one for x4, but the number was no where near either of these two. Aren't they suppose to be somewhat close? Did I make a dumb algebra mistake or am I not doing this right at all?

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