(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

solve via newt raphson iterative method to 4dp

Find the solution x= 1/(1+x^x) to 4dp beginning at x=1

2. Relevant equations

Now the formula for this is

x1= x0 – f(x0)/f’(x0)

Now what I did was rearrange so f(x)= x( 1+x^x)-1=0

I need to differentiatie this expression

So say I called it y= x( 1+x^x)-1

Could I proceed by taking logs of both sides

i.e (an example where I saw people take logs of boths ides was when y=x^x and therefore lny=x^x) is that only for when there is one term equal to another

3. The attempt at a solution

how I attempted it was as follows

y= x + x^(x+1) -1

lny = lnx +(x+1)lnx - ln1

lny= lnx +xlnx +lnx –ln1

1/y dy/dx= 1/x + lnx +1

dy/dx = (x + x^(x+1) -1) (1/x + lnx +1)

now this feels wrong to me

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# Homework Help: Help wid differn when to take logs of both sides

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