1. Find the first derivative of the function g(z) = 6z – 72z² + 270z. %3D = (z),6 2. Find the second derivative of the function. s(z) = 3. Evaluate g"(3). s'(3) = 4. Is the graph of g(z) concave up or concave down at I = 3? At z = 3 the graph of g(x) is concave 5. Does the graph of g(1) have a local minimum or local maximum at I = 3? At z = 3 there is a local

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…

Find the derivative of the function. Do not find the product before finding the derivative. y 3 (8x² - x+6) (2 - x") Choose the correct answer below. A. y' = (2-x³) (-3x?) + (16x – 1)(8x² -x+ 6) O B. %3D y' = (8x² -x+6) (- 3x²) + (2-x) (16x- 1) C. y' = (- 3x²) (16x - 1) + (8x² - x + 6) (2-x³) %3D Oc. %3D OD. – x+ 6) (3x²) + (2-x³) (16x- 1) %3D

Differentiate the function.