a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent to the graph off at (a,f(a)) for the given value of a. Use the graph of g in the gure to do the following. a. Find the values of x in (- 3,3) at which 9 is not continuous. h. Find the values ofx in (- 3,3) at which 9 is not differentiable. c. Sketch a graph of 9'. my Q Q a. In the interval (- 3,3), g is not continuous at x = (Use a comma to separate answers as needed.) b. In the interval (- 3,3), g is not differentiable at x = (Use a comma to separate answers as needed.) 1:. Choose the correct graph below. OA. Q q When observations begin at t= O, a cell culture has 1800 cells and continues to grow according to the function p(t)=1800et, where p is the number of cells and t is measured in days. a. Compute p'(t). What units are associated with the derivative and what does it measure? b. On the interval [05] when is the growth rate p'(t) the least? When is it the greatest? a. p'(t) = (Type an exact answer in terms of e.) What units are associated with the derivative and what does it measure? A. The units associated with the derivative showing the number of days per cell grown, and the derivative measures the initial cell count. B. The units associated with the derivative showing the number of hours per cell grown, and the derivative measures the nal cell count. c. The units associated with the derivative are cells grown per day, and the derivative measures the rate of change of the number of cells. b. On the interval [0,5], the growth rate p'(t) is least when t= On the interval [0,5], the growth rate p'(t) is greatest when t= |:|. Find the derivative of the following function by rst expanding the expression. f(x) = (3x + 1) (5x2 + 2) f'(x) = D Let G = 8f - g, where the graphs of f and g are shown in the figure to the right. Find the following derivative. G' (3) 8 G'(3) =