To begin with, is a zero of when
Solving this equation gives us the zeros of . To find the equation of the tangent line at , we differentiate to find its slope at , remembering that the equation for a line is
So, here's the problem:
1) Let f be the function defined by , where A is the number of letters in your last name. (For me, that would be 6).
(a) Find the exact zeros of f (using algebra, not your calculator).
(b) Write an equation for the tangent line to the graph of f at x = -1.
Can someone explain to me how to get started solving these questions?