Derivative Assignment MCV4U Please provide full solutions and highlight your final answer. 1. Determine the following limits. If the limit does not exist, show why. a. lim - 7 x-2 5x-2x+6 b. lim 2x+4x-2 x-1 c. lim x-1-2 x-5 x-5 Feb 21.2022 146 (2) (3) (4) 2. Use the definition of the derivative to find f (x) of f(x) = 2x - 3. Determine the slope of the tangent line to f(x) at x = 2 (6) 1/4 3. Using the change of variable strategy, find the limit of lim (5) x-256 x 256 4. Determine the derivatives of the following functions: 3 a. f(x)=x + 38x + + 90 b. y = C. = 8 3x y = 2x-1 3 d. f(x) = (1 x - (x + 9)* (3+x) e. y = x+7 (2) (3) (3) (3) (3) 5. Determine the equation of the tangent line to the function f(x) = 2x-1 if the tangent line is perpendicular to 4x + 2y = 7. Hint: if two lines are perpendicular, their slopes are negative reciprocals of each other. (6) 6. The position of a particle is given by the function s(t) = - (3t - 7) + 2. Determine the velocity of the particle at t = 3. At what time is the particle at rest? (6)