1. Determine the derivatives of the following functions by using only the definition of the derivative. Using any 2. Determine the coordinates of the three vertices of the triangle formed by the following lines (assume a > 0) derivative rules will result in no credit. i. The line tangent to the curve y = - x - 3x + 5 at x = a ii. The line normal to the curve y = - x2 - 3x + 5 at x = a i. f(x) = Vx-5 iii. The y-axis Start by providing a sketch of the graphs illustrating this situation for a = 1 and use this sketch to help you find the solution for any a > 0. ii. g(x) = - x5 + 7 2x - 1