Calculate the difference quotient for f (x) = 5 x2 at a = 6. (Express numbers in exact form. Use symbolic notation and fractions where needed.) m _ \"6) ' x 6 _ Calculate f' (6) by nding lim m. xu x6 (Give an exact answer. Use symbolic notation and fractions where needed.) NS) = l:| Find an equation of the tangent line to f (x) at a = 6. (Express numbers in exact form. Use symbolic notation and fractions where needed. Let f (x) = y and express equation in terms of x and y.) Use the limit denition to compute the derivative of the function f (x) = 113:3 at x = 1. (Give your answer as a whole or exact number.) m= :] Find an equation of the tangent line to the graph of f at x = 1_ (Use symbolic notation and fractions where needed. Let y = f (x). Express equation in terms of variables x and y.) Consider the graph of f. -NW AU . .- - X 1 2 3 4 5 6 7 8 9 Determine the correct statement(s) about f (x). Of' (8.5 ) f' (3.5) Of' (7.5) > f'(6.5)Find the equation of the tangent line at (3, f (3)) when f (3) = 18 and f '(3) = 4. (Use symbolic notation and fractions where needed.) Find f(4) and f'(4), assuming that the tangent line to y = at) at a = 4 is y = 10x + 2. (Give exact answers. Use symbolic notation and fractions where needed.) m = m =