For each of the following quadratic functions, find the slope of the secant line connecting x and x x, and the slope of the tangent line as a function of x Write your result in both differential and prime notation g(x) x 2x2 (based on Exercise 12) ...

gx x x x 2x 2 4xx 2x 2 g x 4xx ...

For each of the following quadratic functions, find the slope of the secant line connecting x and

Question:

For each of the following quadratic functions, find the slope of the secant line connecting x and x + Δx, and the slope of the tangent line as a function of x. Write your result in both differential and prime notation.
g(x) = x + 2x2 (based on Exercise 12).