Hello,

I need help with this assignment. Please, it needs to be done with the limit definition not using L'Hpital rule or any other. Also, explain it as much as possible.

I would appreciate you help. Thank you!

(4) Let f(x) = x2 - 3x +1 (a) Find the average rate of change of f(x) with respect to x over the interval [0, 3] (b) Find f'(x) ( Use limit definition to receive credit) (c) Find the equation of the tangent line at x = 2.\f5 (2) Let f(x) = - 1 x - 3 . Find the equation of the slope of the tangent line of f(x) at x = 1 ( Use limit definition to receive credit) (3) Find ify = Vx -1 ( Use limit definition to receive credit)