Problem 1. (1 point) Problem 10. (1 point) Find the derivative of f(x) = x cosx If f(x) = 4x- tanx f' ( x ) = secx find f' (x). Problem 2. (1 point) Find the derivative of f(x) =; 3 6x +4 Find f'(5). f' (x) = Problem 3. (1 point) Let f(x) = (6x -4x3) (6 + x). Find f' (x). Problem 11. (1 point) Let f(x) = =3x +7x4 - 7x3 . Then, f'( x) = 14 Problem 4. (1 point) f' ( x ) = If f(x) = cosx - 3 tan.x, then Problem 12. (1 point) f' (x) = _ Differentiate Problem 5. (1 point) f(x) = tan(x) (3 sin(x) + 3cos(x)) . If f (t) = (12+ 21 + 8)(21 -2 + 41-3), find f'(1). f' (x) = Answer: Problem 6. (1 point) Problem 13. (1 point) Find an equation for the line tangent to the graph of Let f(x) = 2-x2 8+ 12 . Then, f (x) = = Vx f' (x ) = 6x + 1 at the point (2, f(2)). f' (2) = y= Problem 7. (1 point) Let f(x) = Vx-2 Problem 14. (1 point) Vx+2. Then, Find the equation of the line that is tangent to the curve f' ( x ) = y = 2xcosx at the point (It, -2nt). f' (3) = Problem 8. (1 point) The equation of this tangent line can be written in the form Let f(x) = -2x(sin(x) + cos(x)). Find the following: y = mx + b where m= 1. f' (x) = 2. f' (3) and b = Problem 9. (1 point) Problem 15. (1 point) Let f (x) = - -12x Let f(x) = 5 secx. "sin(x) + cos(x) Evaluate f'(x) at x = n. Then f"(nt/9) = f' (It ) =