AP Calculus BC SUMNOCO Flashcards
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| 3828859083 | Write the notation for the limit of f(x) as x approaches c from the left. |  | 0 | |
| 3828859084 | Write the notation for the limit of f(x) as x approaches c from the right. |  | 1 | |
| 3828862853 | State the 3 conditions of continuity of a function at x=c. | 1. f(c) is defined 2. The limit of f(x) as x approaches c exists 3. The limit of f(x) as x approaches c equals f(c) | 2 | |
| 3828864250 | List the 3 situations in which a limit fails to exist. | 1. Unbounded behavior 2. Differing left/right behavior 3. Oscillation | 3 | |
| 3828866170 | List the 3 situations in which a derivative fails to exist. | 1. Sharp turns 2. Vertical tangent lines 3. Discontinuities | 4 | |
| 5124427751 | What is the limit of sin(x)/x as x approaches 0? |  | 5 | |
| 5124436824 | What is the limit of (1-cos(x))/x as x approaches 0? |  | 6 | |
| 3828867831 | Write the equation of a line in point-slope form. |  | 7 | |
| 3828868953 | What is ln (1)? | 0 | 8 | |
| 3828868954 | What is ln (e)? | 1 | 9 | |
| 3828872397 | State the IVT, Intermediate Value Theorem. | If f is continuous on [a, b] with k between f(a) and f(b), then there exists at least one value of c in [a, b] such that f(c)=k. | 10 | |
| 3828874303 | State the limit definition of the derivative of f(x). |  | 11 | |
| 3828876061 | State the limit definition of the derivative of f(x) at x=c. |  | 12 | |
| 5124365459 | What is the derivative with respect to x of u*v, where u and v are functions of x? |  | 13 | |
| 5124380828 | What is the derivative with respect to x of u/v, where u and v are functions of x? |  | 14 | |
| 5124396140 | What is the derivative with respect to x of x^n? |  | 15 | |
| 5124407857 | What is the derivative with respect to x of f(u), where u is a function of x? |  | 16 | |
| 5124417891 | What is the derivative with respect to x of sin(u), where u is a function of x? |  | 17 | |
| 5124425294 | What is the derivative with respect to x of cos(u), where u is a function of x? |  | 18 | |
| 5124451469 | What is the derivative with respect to x of tan(u), where u is a function of x? |  | 19 | |
| 5124459048 | What is the derivative with respect to x of cot(u), where u is a function of x? |  | 20 | |
| 5124466874 | What is the derivative with respect to x of sec(u), where u is a function of x? |  | 21 | |
| 5124474307 | What is the derivative with respect to x of csc(u), where u is a function of x? |  | 22 |