Performance Task #2: Derivatives Knowledge & Understanding Communication /17 /4 1. Find the equation of the tangent line at point P(2,3) to the graph of the curve f(x) = V4x +1 Draw a diagram to illustrate the situation. [K /4] 2. Explain each step of the solution for determining the equation of the tangent line to y = (0.25x4 - 30)2 at x = 3. [c /4]3. Find the points on the graph of f(x) = 7x3 - 6x2 + 4x + 9 where the tangent line is horizontal. (Hint: set f'(x) = 0 and solve) [K /3] 4. Differentiate. Do not simplify. a. g(x) = (8+ 1-2 ) ( x3 - 2) [K /3] b. f (x) = (x-1)2(3x4 + 5)6 [K /2] c. h(x) = 90.5(x3 + 1) - x-4/3 [K /3] d. F(x) = x3-5x+3 2x-1 [K /2]