Chapter 5--AP Calculus AB Flashcards
Logarithmic, exponential, and other transcendental functions...
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| 1259023286 | ln (1) | ZERO | 0 | |
| 1259023287 | ln (0) | UNDEFINED | 1 | |
| 1259023288 | ln (ab) expanded is | ln (a) + ln (b) | 2 | |
| 1259023289 | ln (a^n) expanded is | nln (a) | 3 | |
| 1259023290 | ln (a/b) expanded is | ln (a) - ln (b) | 4 | |
| 1259023291 | d/dx [ln x] | 1/x | 5 | |
| 1259023292 | d/dx [ln u] | u'/u or (1/u)(du) | 6 | |
| 1259023293 | d/dx [ln |u|] | u'/u or (1/u)(du) | 7 | |
| 1259023294 | integral of (1/x)dx | ln |x| + C | 8 | |
| 1259023295 | integral of (1/u)du | ln |u| + C | 9 | |
| 1259023296 | g'(x) [derivative of the inverse function] | 1/f'(g(x)) | 10 | |
| 1259023297 | ln (e^x) | x | 11 | |
| 1259023298 | e^ln(x) | x | 12 | |
| 1259023299 | (e^a)(e^b) expanded is | e^(a+b) | 13 | |
| 1259023300 | (e^a)/(e^b) expanded is | e^(a-b) | 14 | |
| 1259023301 | d/dx [e^x] | e^x | 15 | |
| 1259023302 | d/dx [e^u] | (e^u)(u') | 16 | |
| 1259023303 | integral of (e^x)dx | e^x + C | 17 | |
| 1259023304 | integral of (e^u)du | e^u + C | 18 | |
| 1259023305 | d/dx [a^x] | ln(a) * a^x | 19 | |
| 1259023306 | d/dx [a^u] | ln(a) * a^u * u' | 20 | |
| 1259023307 | d/dx [log base a to the x] | 1/(lna * x) | 21 | |
| 1259023308 | d/dx [log base a to the u] | 1/(lna * u) * u' | 22 | |
| 1259023309 | in a log equation, b or a is the ___, x is the ____, and y is the ____ | base, answer, exponent | 23 | |
| 1259023310 | integral of (a^x)dx | (1/lna) * a^x + C | 24 |