Let $f(x)=x^2-10x+25$

$($a$)$ Find the derivative $f^{\text{'}}$ of $f.$

$f^{\text{'}}(x)=$

$$

$($b$)$ Find the point on thegraph of $f$ where the tangent line to the curve is horizontal.

$(x,y)=()$

$($c$)$ Sketch the graph of $f$ and the tangent line to the curve at the point found in part $($b$).$

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