How to find the minimum from this equation?

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By using calculus how to find the exact values of x?

1 Answer
F. Javier B.
May 18, 2018

See process below

Explanation:

Let #f(x)=x/sqrt(x^2+100)-1/4#

To find the minimum we evaluate #f´(x)=0#

#f´(x)=(2x^2-100)/(x^4+200x^2+10000·sqrt(x^2+100)#

This function will be zero if #2x^2-100=0#

Then #x=+-sqrt50#

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