## anonymous one year ago Given f(x) = \frac (\sqrt ( x ) - 6 )(\sqrt ( x ) + 6 ). Find f'( x ) = __________________ Find the equation of the tangent line when x = 25. No decimals allowed. y = __________________

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1. anonymous

Just to avoid using the quotient rule:$f(x)=\frac{\sqrt x-6}{\sqrt x+6}=\frac{\sqrt x+6-12}{\sqrt x+6}=1-12(\sqrt x+6)^{-1}$

2. anonymous

Refer to the attachment from the Mathematica computer program.