Chapter 4.1, Problem 53E

A duck's flight is given by the following expression: y = x^2 + x + 4. X and y are coordinates of its flight. When x = 2, the duck takes a hit and thereafter its flight follows the trajectory of a tangent line. What is the coordinate when x=4.

Determine the equation of the slope of the line tangent to y = tan(x) using the 4-step rule.

y = xx that is parallel to the line y = 6 + 3x. Find an equation of the tangent line to the curve