Problem 1. (1 point) Problem 8. (1 point) Let Let f(x) = V4x2+5x+8 f(x) = (-712 -4)4(912 -7) 13 f' (x) = f' ( x ) = f' (3) = Problem 9. (1 point) Let Problem 2. (1 point) f(x) = 7 sin(cosx) Let f(x) = (5x+4) -3. f' ( x) = f (x) = f' ( 2 ) = Problem 10. (1 point) Problem 3. (1 point) If f (t) = (7 - " ) ' , find f'(1 ). Let y = V8 +3tanx dy Problem 11. (1 point) dx Let 5x Problem 4. (1 point) f ( x ) = - V9 - 3x Let f(x) = 2sin(2x + 9). Find f'(x). f' ( x ) = f (x ) = Problem 5. (1 point) Problem 12. (1 point) Let Let f(x) = -5sinx. y = (4+ cos2 x) 11 f' ( x ) = dy Problem 6. (1 point) dx Problem 13. (1 point) Match the functions and their derivatives: Find an equation of the tangent line to the curve 1. y = cos'(x) 2. y = sin(x) tan(x) y = sin(7x) + cos(4x) 3. y = tan(x) 4. y = cos(tan(x)) at the point (, y()). Tangent line: A. y' = -3cos3(x) tan(x) B. y = 1 + tan-(x) C. y' = sin(x) + tan(x) sec(x) Problem 14. (1 point) D. y' = - sin(tan(x))/ cos2(x) Let f (x) = 3x2 cos(4x). Problem 7. (1 point) f' ( x ) = Let f(x) = -4csc(9x) f' (3) = f" (x ) = f' (x) = f" (3) =