AP Calculus Flashcards
Terms : Hide Images [1]
| 11154435208 | How do you find the zeros of f(x)? | Set the function equal to zero. Factor or use the quadratic formula if quadratic. Graph to find the zeros on calculator. | 0 | |
| 11154452890 | How do you know that f(x) is even? | Show that f(-x) = f(x). This shows that the graph of f is symmetric to the y-axis. | 1 | |
| 11154467062 | How do you show that f(x) is odd? | Show that f(-x) = -f(x). This shows that the graph of f is symmetric to the origin. | 2 | |
| 11154485501 | How do you find the domain of f(x)? | Assume domain is (−∞,∞). Restrict domains: denominators ≠ 0, square roots of only non-negative numbers, logarithm or natural log of only positive numbers. | 3 | |
| 11154504827 | How do you find the vertical asymptotes of f(x)? | Express f(x) as a fraction, express numerator and denominator in factored form, and do any cancellations. Set denominator equal to 0. | 4 | |
| 11154520398 | How do you find the average rate of change of the function f on [a,b]? |  | 5 | |
| 11154607728 | How do you find the instantaneous rate of change of the function f at x = a? | Find the slope of the tangent line to the function f at x = a. Or, find the derivative of the function at a. Or, find f' (a) | 6 | |
| 11154657721 | How do you factor a sum or difference of cubes? |  | 7 | |
| 11154698752 | What are the two definitions of the derivative? |  | 8 | |
| 11154817720 | What is the derivative of sin(u)? |  | 9 | |
| 11154827258 | What is the derivative of cos(u)? |  | 10 | |
| 11154833485 | What is the derivative of tan(u)? |  | 11 | |
| 11154849300 | What is the derivative of csc(u)? |  | 12 | |
| 11154857073 | What is the derivative of sec(u)? |  | 13 | |
| 11154864224 | What is the derivative of cot(u)? |  | 14 | |
| 11479178606 | What is the derivative of ln(u)? |  | 15 | |
| 11479192037 | ln(a x b) | ln(a) + ln(b) | 16 | |
| 11479198407 | ln(a/b) = | ln(a)-ln(b) | 17 | |
| 11479208692 | ln(a^b) |  | 18 | |
| 11479222359 | What is the derivative of e^u? |  | 19 | |
| 11479232271 | What is the derivative of a^u? |  | 20 | |
| 11687060834 | How do you find the equation of line normal to a graph at x = c? | Find the slope of the tangent line to the graph at x = c, then use the opposite reciprocal slope to write an equation. | 21 | |
| 11687103162 | How do you find horizontal asymptotes of f(x) algebraically? | Find the limit if f(x) as x approaches + and - infinity. | 22 | |
| 11687119904 | How do you find vertical asymptotes of f(x) algebraically? | Find where the function is undefined. This is usually where the denominator of f(x) = 0. | 23 | |
| 11687144040 | How do you show that f(x) is continuous at x = c? |  | 24 |