1. Using the limit definition of derivative, find f (3) for the function f (x) = x3 + 17x - 12x + 2 2. Find the slope of the secant line between the values 3 and 4 for the function f (x) = ax 3. Applying limit definition of derivative, find the slope of the tangent line f (a) = a at x=3 4. What do you understand from question numbers 2 and 3 about secant lines and tangent lines? Explain any difference or any similarity. 5. The total cost of producing x winter jackets in dollars is given by C(@) = 100 + 10a + 0.2x using the limit definition of the derivative, find average cost per jacket in [10,12]. Then find the average cost of making 1500 jackets. 6. Apply the derivative rules, find f'(x) for f(x) = (x: + 2) (x2 + 16xx + 4) 7. Apply the derivatives rules, find f'(x) for f(x) = 2-5x3+2x2-5 8. Find the equation of the tangent line to the graph of f(x) = (x + 2) (a3 - 5x - 1) at x=1. 9. Use Desmos graphing calculator to graph the function f(x) = (x + 2) (x3 - 5x - 1) 10. The concentration of antibiotic in the bloodstream t hours after being injected is given by the function C(t) is measured in milligrams per litre of blood. Find the rate of change of ((t) = $14 .Determine the rate of change for t=2 hours. 2t