Pls write in pen and paper the way I understand. Thanks a lot :)

4) lim x - 9 x-9 /x -91 5) lim sin x x-0 3x 6) Find lim 6x4 -5x3 - 2x + 1 x- 00 3x4 - 2x - 7 7) Find d lim ex X - 00 3x2 Find the derivative of the following functions. Do not simplify your answers 8) y = In (9x + 8) 9x + 8 9) y = (3x2 +10) In(x + 6) 10) y = sin (98x - 9) - 3rt 11) y = (cos 5x + tan x4)4 12) Find the f and f" of the function g(w) = (3:2 - 2w + 3)6. 13) Write an equation of the line tangent to the curvey = 4x2 at the point(1, 1) x2+ 2x + 1 Use the definition f(x) = h-0 _lim f(x + h) - f(x) to find the derivative at x. h 14) f(x) = 2x2 + 4x 15) f(x) =5x2 +3x - 1 An object moving with rectilinear motion according to the given function relating s (in feet) and t (in seconds) 16) s = 413 - 2t2 + 14; Find the instantaneous velocity of the object after t-2