2 4. Consider the function g(r) = a) Find the derivative of g using differentiation rules. b) Verify your answer in (a) using the limit definition of the derivative.1. t seconds after jumping out of a plane, a skydiver's altitude (in metres) is approxi- mated by the function A(!) = -0.01/2 - 5.5t + 3000 if 0 =0, 1 42+1 Find the derivative of P(t) by inputting P' (t). c) How fast is the profit changing a year after the computer's release? d) What will the total profit be at that time? e) What is lim P(t) and lim P'(t)? Explain what they mean in this situation. 1-4502. Consider the function h(z) = 11 - a) Find the equation of the tangent line to the graph of h where r = -1. b) Use Geogebra CAS to plot h and the tangent line, and include in your solution a screen shot with appropriate labels