Question

To find the equation of a line, we need the slope of the line and a point on the line. Since we are requested to find the equation of the tangent line at the point (36, 6), we know that (36, 6) is a point on the line. So we just need to find its slope. The slope of a tangent line to f(x) at x = a can be found using the formula mtan = lim x→a (f(x) − f(a))/(x − a) .In this situation, the function is f(x) = what and a = what.

Answer 1

\[f(x)=\sqrt{x}\] is my guess

Answer 2

and \(a=36\)