Please explain me these 10 questions step by step.

1. (a) (5 points) What the defini 10iiI)f' the do, o/ g function? (b) (5 points) What is a what a a line is 2. (a) (5 points) Use the definition Of the (lrrvativgiloi kv.ompute the derivative of f (x) (b) (5 points) Find tngG1t t? f r) at the point where x 3. (10 points) Find the 'Oquati01 of tho tangentl line to f (x) sin(3x) at .T 4. (a) (5 points) Fin the clerivatlve; of f (x) Can x [Hint: logarithmic differentiation] (b) (5 points) Vind gieft{ingentc line to jc:r)' I tan x i at the point where x 5. (10 points) Find the *equation Of the cangent line to Y2 c2x O at the point (O. 1). 18 6. Let f (x) J la:24 18:r 9 (a) Find the roots Of no calculus needed. Factor but show all work!] (b) Find any horizontl; ltwnlbtotes of f (x) (c) Find any vertcal ?-syrnptote$i Of f (d) Find any remoVni)le. singlllarities of f(:r) 7. Use derivative rules cy computel the, derivatives; of the following functions. Siri x 8. 9. 10. (a) (5 points) f C ) (c) (5 points) cc s 9T (5 points) Calculat lim iii (a) (5 points) Find (b) (5 points) Find tile an e (10 points) Find thee atl 8iL'Gpital's5 ;rule. Oint where a;' = 1. the point (2, O).