2024 Calculus 1 final exam study guide LATEST UPDATE FINAL PASS A+ 2 / 6

2024 Calculus 1 final exam study guide LATEST UPDATE FINAL PASS A+ 2 / 6 1. Volume of Sphere: 2. Surface Area of Cylinder: 3. Volume of Cylinder: 4. Surface Area of Cube: 5. Volume of Cube: 6. Area of Circle: 7. Perimeter of Circle: 8. Area of Triangle: 9. Perimeter of Triangle: 10. Area of Rectangle: 11. Perimeter of Rectangle: 3 / 6 12. Area of Sector: 13. Perimeter of Sector: 14. Distance Formula: 15. Pythagorean Theorem: 16. Properties of Similar Triangles: 17. Rolle's Theorem: Suppose y=f(x) is a continuous function on [a,b] and differen- tiable on the interior (a,b), then there is a tleast one number in (a,b) such that f'(c)=0. 18. Intermediate Value Theorem: If f is continuous on [a,b] and k is a number between f(a) and f(b), then there exists at least one number c such that f(c)=k 19. (cf)': c f'(x) 20. (f +/- g)': f'(x) +/- g'(x) 21. Product Rule: (f*g)' = f'g + fg' 22. Quotient Rule: g(x)f'(x)-f(x)g'(x)/g(x)^2 23. Power Rule: d/dx x^n = nx^n-1 24. Chain Rule: f '(g(x)) g'(x) 25. d/dx[x]: 1 26. d/dx[sin x]: cos x 27. d/dx[cos x]: -sin x 28. d/dx[tan x]: sec^2 x 29. d/dx[sec x]: sec x tan x 30. d/dx[ csc x]: -csc x cot x