3. Use the limit definition of the derivative to find the derivative of each of f(x) = 2x + 3. Show all of your work carefully and clearly. 4. Sketch the graph of a functiony = f(x) defined over -5 x 5 with the following conditions. f is differentiable everywhere except at x = -2, x = 0, and x = 3 f is neither continuous nor differentiable at x = -2 f is continuous but not differentiable at x = 0 and x = 3, but for different reasons 5. Consider the graph of y = f(x) as given. Carefully sketch a well-labeled graph of f. 2 a. f(x) = 4x - 6. Find the derivative of each of the following functions using the Power Rule and other derivative rules. d. f(x) = x-3x+11 a. Compute a formula for h'(x). b. Evaluate h'(2), if possible. Evaluate h'(3), if possible. ESET M zah e. h(u) b. g(t) = 5t-/ *f(x) 7. Let h(x) = x, where the graphs of f and g are as shown. zu-3u c. y = (x + 3x) (1-) 000) 8. The function 7(x) represents the temperature (in F) at an elevation of x feet on a mountain. What does the statement T' (5000) = -0.15 mean in the context of the problem? Express using one carefully written statement. Be sure to include units.