UNIT TEST #2: DERIVATIVES SECTION -B - APPLICATION [TOTAL A - 10] This is an evaluation, make sure youare completing the work on your own To earn full marks, you must justify your solution. Include the following asneeded: Show diagram, define variables, state formula, theorem, equation or function used, Show substitutions and or steps in solving an equation, State restrictions, state concluding statement, Use correct notation. A mark of zero will be given for stating just the answer. 1. Determine the equation of the tangent to the curve f(x) = - -5x at x = -1. [A - 5] (3x+4) 2. Determine the coordinates of the point(s) on f(x) = x - 2x where the tangent line(s) are perpendicular to y - x + 2 =0. [A - 5]1. What is the rule for calculating the derivative of the composition of two differentiable functions? Give 2 examples, and show how the derivative is determined. [C - 4] 2. What are different ways to find the derivative of a rational function? Give 2 examples. [C - 4] 3. Determine the slope of the tangent to h(x) = 2x(x + 1) (x + 2x + 1)" atx=-2. Explain how to find the equation of the normal at x = -2. [C - 5]1. Determine the derivative of y = V3x + v3x + v3x [T - 3] 2. Determine a quadratic function f(x) = ax + bx + c if its graph passes through the point (2,19) and has a horizontal tangent at (-1,8). [T - 4] kx+1 3. The function f (x) = has a horizontal at x = 1. Determine the value of k. [T -5 ] Vx