Calculus Crossword Puzzle

3. A process for finding dy/dx when y is defined as a function as a function of x by an equation of the form f(x,y)=0 is _______ differentiation.
4. Have to lift pencil to draw graph/Removable, infinite, jumps, etc.
7. f(c)= 1/(b-a) times the integral of f(x) from a to b is the ______ ______ theorem (two words)
9. If a function is continuous between a and b, then it takes on every value between f(a) and f(b).
10. Determined by taking the coefficients of the highest degree in the numerator over the denominator.
12. Where the function obtains its greatest possible value.
14. 1.f(a) is defined 2.lim f(x)as x approaches a exists.
15. the instantaneous rate of change of a function with respect to one of it's variables/finding the slope of the tangent line.
16. Multiply exponent by coefficient and decrease the exponent by 1.
18. A function that is defined by applying different formulas to different parts of its domain is a ______ function.
24. The process of taking a derivative.
28. V(t).
29. Involves 2 or more variables that change at different rates.
30. Where the function obtains its least possible value.
31. Instantaneous rate of change.
32. f'(g(x)) g'(x).
33. f(b)-f(a)/b-a.
35. 1.f(a) must be defined 2. (RHD)=(LHD).

1. lo dee hi mine hi dee lo lo lo.
2. The value that a function approaches as that function's input gets closer and closer to a number.
5. Average rate of change.
6. Where concavity changes from down to up or vice versa.
8. lo dee hi plus hi dee lo.
11. f' is decreasing/f'' is negative.
13. The derivative of -cosx.
16. S(t).
17. Maximum or minimum.
19. f(a+h)-f(a)/h.
20. Any value in its domain where its derivative is 0.
21. A(t).
22. f' is increasing/f'' is positive.
23. The antiderivative of 1/x.
25. Uses the derivative to locate the critical points and determine which point is a local maximum or local minimum and can also give information on what kind of concavity it is.
26. Indefinite integral/ F'=f.
27. f'(a-.
34. f'(a+.