Question 438211
*[tex \LARGE f(x) = \sqrt{x} - 1 = x^{\frac{1}{2}} - 1]


*[tex \LARGE f'(x) = \frac{1}{2}x^{-\frac{1}{2}} = \frac{1}{2\sqrt{x}}]


Replace x with 10


*[tex \LARGE f'(10) = \frac{1}{2\sqrt{10}} = \frac{\sqrt{10}}{20}]


Since *[tex f(10) = \sqrt{10} - 1], we have the slope of the tangent line through this point. Use this with the y = mx + b form of a line to find the y-intercept.