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

Find the point on the graph of f(x)=√x that is closest to the value (4,0).

(differentiate the square of the distance from a point (x,√x) on the graph of f to the point (4,0).)

2. Relevant equations

f(x)=√x

3. The attempt at a solution

Square of distance from (4,0)

D(x)= ((x-4)^2+x)

For minimum, D'(x)=0

2(x-4)+1=0

x=7/2

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# Homework Help: Differentiate the square of the distance

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