Chapter 3.1, Problem 4QC

  Verify that the derivative of the function f in Example 4 at the point (8, 5) is $f^{\prime }\left(8\right)=1/4$. Then find an equation of the line tangent to the graph of f at the point (8, 5).

Example 4 Derivatives and Tangent Lines

Let $f\left(x\right)=\sqrt{2x}+1$. Compute $f^{\prime }\left(2\right)$, tha deritvative of f at x = 2, and use the result, to find an equation of the line tangant to the graph of f at (2, 3).