The graphs of the first and second derivatives of a function y = f(x) are given below. According to the figure, the graph of f is concave upward on (6, 0). YA y = f"(x) 10 –6 10 y = f'(x) Select one: True O False

1. (#11 Exam 1 Review) Find the equation of the line tangent to the graph of the function: f (x) = x-2x² at x = 1. You must use the Definition of the Derivative to obtain the derivative. 2. (#9 Exam 1 Review) Sketch the graph of the function g for which: g(0) = g(2) = g(4) = 0, g' (1) = g(3) = 0,g' (2) = -1, lim g(x) = ∞, and lim g(x) = -∞ x 5 x-1+ 3. State the three-part Definition of Continuity. 4. (#13 Exam 1 Review) The graph of f is given. State, with mathematically correct reasons, the values for which f is not differentiable. -2 VA 0 2 4 X (Description: Graph with three components. First component is horizontal line in the 2nd quadrant to x = -2. Sharp turn upwards in downward arc into the 1st quadrant and ends with open dot where x = 1. Second component is solid dot at x = 1 vertically below the open dot. Third component begins with open dot at x = 1 below the solid dot. The graph falls in downward arc shape into the 4th quadrant, takes a sharp turn at x = 3 and continues as…

please show your derivative by hand and simplify

Determine the derivative for y = 5 sin (2x - 4) = ду = ?х ду ?х 5 cos (2x-4) 10 cos (2x - 4) ду = -5 sin (2x - 4) ?х -10 sin (2x - 4) ду ?х