Find the derivative f of f using the definition of the

Question

Question: Let f(x) = - x² - 2x + 3.

a. Find the derivative f' of f, using the definition of the derivative.

b. Find the slope of the tangent line to the graph of f at the point (0, 3).

c. Find the rate of change of f when x = 0.

d. Find an equation of the tangent line to the graph of f at the point (0, 3).

e. Sketch the graph of f and the tangent line to the curve at the point (0, 3).