2 1. Determine the slope of the secant line passing through the curve y = - at x = 1 and x = 3. Sketch a graph to support the solution. -2 D -23 2. Using first principles, find the derivative of y = x - 1. 3. Find the slope of the tangent to The function fix} = 1.31 + 4 at the paint {5, 3) using first principles. 4. For what values of * is the function not differentiable? Justify using formal reasoning. 4 4- 1- -2 10 2.5. Using the power rule, differentiate the following functions. Use positive exponents in each final answer. (1) a. /(x) = x+ 17 (1 b. y = 10 c. f (x) = V5x+->2 d. g(x) = 3x + 3x - 8x + 4 X 6. Find the derivative of each of the following functions using the product rule. Use positive exponents in each final answer. a. h(x) = (3x -2)(5x - 1)3 b. y= vx(x X7. Find the derivative of each of the following functions using the quotient rule. Use positive exponents in each final answer. a. V= 3x + 5 2 2x 9. Find The derivative of each of the following functions using the chain rule. Use positive exponents in each final answer. (9 a. _1-* = {x3 + EXT