AP Calculus Flashcards
Stuff I should know
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| 6583172349 | d/dx (x^2) | 2x | 0 | |
| 6583172350 | d/dx (sin x) | cos x | 1 | |
| 6583172351 | d/dx (cos x) | -sin x | 2 | |
| 6583172352 | d/dx (tan x) | (sec x)^2 | 3 | |
| 6583172353 | d/dx (cot x) | -(csc x)^2 | 4 | |
| 6583172354 | d/dx (sec x) | (sec x)(tan x) | 5 | |
| 6583172355 | d/dx (csc x) | -(csc x)(cot x) | 6 | |
| 6583172356 | d/dx (e^x) | e^x | 7 | |
| 6583172357 | d/dx (ln x) | 1/x | 8 | |
| 6583172358 | Log A + Log B | Log (AB) | 9 | |
| 6583172359 | Log A - Log B | Log (A/B) | 10 | |
| 6583172360 | k Log A | Log (A^k) | 11 | |
| 6583172361 | Point-slope form of a line | y-y1 = m (x-x1) | 12 | |
| 6583172362 | Product rule | d/dx (uv) = uv' + vu' | 13 | |
| 6583172363 | Quotient rule | d/dx (u/v) = (vu'-uv')/(v^2) | 14 | |
| 6583172364 | Rolle's Theorem | Let f be continuous on [a,b] and differentiable on (a,b) and if f(a)=f(b) then there is at least one number c on (a,b) such that f'(c)=0 (If the slope of the secant is 0, the derivative must = 0 somewhere in the interval). | 15 | |
| 6583172365 | Mean Value Theorem | If f is continuous on [a,b] and differentiable on (a,b), then there exists a number c on (a,b) such that f'(c)=(f(b)-f(a))/(b-a) | 16 | |
| 6583172366 | d/dx (b^x) | b^x (ln b) | 17 | |
| 6583172367 | d/dx (log to the base b of x) | 1 / (x ln b) | 18 | |
| 6583172368 | d/dx (x^3) | 3x^2 | 19 |