Across
- 6. f(-x) = f(x) means that f(x) is ___
- 7. at x=c where the derivative switches from negative to positive and vice versa
- 9. typically done with a table of points. be cure to only use the values that are given. if you are given 7 points, you can only calculate 3 midpoint rectangles
- 12. f''(x) switches from positive to negative and vice versa
- 13. f(x) is continuous, f(a)<k and f(b)>k, a<c<b and f(c)=k
- 14. dy/dt=ky which translates to y=Ce^kt means that y is increasing ___ to y
- 15. outer radius = f(x), inner radius = g(x). V= pi a to b ([f(x)]^2 - [g(x)]^2) dx
- 17. sign chart to find sign of f'(x). positive means f(x) is ___
- 19. radius=f(x): V= pi a to b [f(x)]^2 dx
- 20. lim x->infinity and lim x->-infinity
- 21. use ___ to find derivative f(g(x))
- 23. Is Mr.Duong the best calculus teacher?
- 25. f is continuous and differentiable on [a,b]. f(a)=f(b), then find c on [a,b] such that f'(c)= f(b)-f(a)/b-a
- 27. f(-x) = -f(x) means that f(x) is ___
- 28. find f(b)-f(a)/b-a
- 29. express f'(x) as a fraction. set both numerator and denominator to 0 and solve
Down
- 1. f is continuous and differentiable on [a,b]. if f(a)=f(b), then find c on [a,b] so f'(c)=0
- 2. set both functions of f(x) and g(x) equal to each other to find ___
- 3. A =(b-a/2n)[f(x0)+2f(x1)+2f(x2)+...+2f(xn-1)+f(xn)]
- 4. Express f(x) as a fraction and set denominator as 0
- 5. using relative extrema evaluate f at these values. smallest is absolute ___
- 8. using relative extrema evaluate f at these values. largest is absolute ___
- 10. f(x) exists, f(a) exists, f(x)=f(a)
- 11. find f'(a)
- 16. A=(b-a/n)[f(x1)+f(x2)+...+f(xn)]
- 18. use the points given and plug them into dy/dx, draw little lines with the calculated slopes at the point.
- 19. lim h->0 f(x+h)-f(x)/h
- 22. A=a to b [f(x)-g(x)]dx
- 24. A=(b-a/n)[f(x0)+f(x1)+...+f(xn-1)]
- 26. sign chart to find sign of f'(x). negative means f(x) is ___