Consider the function f(x) - 2x - 3x - 12x + 18. a. Find the first derivative. f' (ac) - b. List any critical numbers. c. Identify intervals of increase. d. Identify intervals of decrease. e. Use parts a through d to identify any relative maximums as ordered pairs. f. Use parts a through d to identify any relative minimums as ordered pairs.- x - 6 Consider the function f(x) = c +4 a. Find the first derivative. f' (a) = b. List any critical values. c. Identify intervals of increase. d. Identify intervals of decrease. e. Based on parts a through d, f(a ) has a maximum of y when f. Based on parts b through e, f(a) has a minimum of y when a g. State any vertical asymptotes of the curve.Consider the function f(x) - Axle 5. a. Find the first derivative. f' (x) - b. List any critical values. c. Identify intervals of increase. d. Identify intervals of decrease. e. Use parts a through d to identify any local maximums as ordered pairs. f. Use parts a through d to identify any local minimums as ordered pairs.Let f(0) = sin(0) + cos(0). Calculate the derivative. [Note: to get the 0 to show up type theta, and the system will immediately convert the word to the symbol.] f' (0 ) = List the first interval after 0 (and not including 0) on which f is increasing? Increasing: List the first interval after 0 (and not including 0) on which f is decreasing? Decreasing