ANSWER ALL OF THE FOLLOWING A. Write True if the statement is correct and False if it is incorrect 1. The second derivative of y = x2 - 5x + 8 is 2x - 5. 2. The derivative of y = $4+5 is 3x4+4x+15 ( 3 x + 2 ) 2 3. The equation of the tangent line of a function f(x) = 4+ 2x - x2 at (2, 4) is y = 2x + 8. 4. The slope of the curve y = 5 - 4x2 at (-2, 1) is 8. 5. f(x) = vx -5 is not differentiable at x = 5. 6. The derivatives of y = e4x+5 is 4e4x+5. 7. The derivatives of y = e3 sin(2x) is be 3sin2x sin(2x). 8. The equation of the tangent line of a function f(x) = 5x3 + 6x2 - 3x at (1, 4) is y = 24x - 20. 9. The equation of the normal line of a function f(x) = 5x3 + 6x2 - 3x at (1, 4) is y = - 1x 24 X+ 24' 10. The derivatives of y = sec(2 - 3x2) is 6x sec2( 2 - 3x2) tan(2 - 3x2). B. Find the first derivative, second derivative, and third derivative for each of the following functions. Function 1 st Derivative 2nd Derivative 3rd Derivative 21. f(x) = x2 - 4x+9 22. f(x) = 7x3 -5x2 - 6x +8 23. f(x) = 2x4 - 4x3+5x-6 24. f(x) =-6x5 +3 25. f(x) = 6x-3+ 8x 26. f (x) = x-6+4x3 27. f ( x) = (5x - 2)2 28. f (x) = (x2 + 5)(4x - 3)