AP Calculus Formula Quiz Flashcards
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| 9681327186 | Write the limit definition of a derivative. |  | 0 | |
| 9681333980 | d/dx(sec x) |  | 1 | |
| 9681338074 | State the Mean Value Theorem for Derivatives. |  | 2 | |
| 9681345371 | State the Mean Value Theorem for Integrals. |  | 3 | |
| 9681353547 | A function w has a point of inflection at x=c if w'' | changes signs at x=c. | 4 | |
| 9681365905 | A function w has a point of inflection at x=c if w' | changes directions at x=c. | 5 | |
| 9681369505 | A function w has a point of inflection at x=c if w | changes concavity at x=c. | 6 | |
| 9681384287 | If g is continuous at x=3 then according to the definition of continuity, lim(x->3+)(g(x))= | lim(x->3-)(g(x)) = g(3) | 7 | |
| 9681405856 | The integral from a to b of q'(t)dt is | q(b) - q(a) | 8 | |
| 9681414668 | The integral from a to b of q(t)dt is | Q(b) - Q(a) | 9 | |
| 9681419777 | The integral from a to b of q''(t) dt is | q'(b) - q'(a) | 10 | |
| 9681432287 | d/dx (the integral from a to x of q(t)dt) is | q(x) | 11 | |
| 9681440345 | The formula for total distance traveled by an object from t=a to t=b is | The integral from a to b of |v(t)|dt | 12 | |
| 9681450917 | The formula for displacement of an object from t=a to t=b is | The integral from a to b of v(t)dt | 13 | |
| 9681467106 | If the lim (x->3) (g(x)) exists, then lim(x->3+)(g(x)) = | lim(x->3-)(g(x)) | 14 | |
| 9681481892 | A function f has a relative max at x=c if f' | changes from positive to negative at x=c | 15 | |
| 9681490378 | A function f has a relative min at x=c if f' | changes from negative to positive at x=c | 16 | |
| 9681494914 | A function f has a relative max at x=c if f'' | is negative at x=c AND f'=0 at x=c | 17 | |
| 9681503405 | A function f has a relative min at x=c if f'' | is positive at x=c AND f'=0 at x=c | 18 | |
| 9681512434 | d/dx(csc x) = |  | 19 | |
| 9681515927 | d/dx(tan x) = |  | 20 | |
| 9681525348 | d/dx (cot x) = |  | 21 | |
| 9681536908 | The integral of cos x = | sin x + C | 22 | |
| 9681549401 | d/dx (-cos x) = | sin x | 23 | |
| 9681580802 | d/dx (arcsin x) = |  | 24 | |
| 9681585414 | d/dx (arccos x) = |  | 25 | |
| 9681588661 | d/dx (arctan x) = |  | 26 | |
| 9681600757 | d/dx (f(x)g(x)) = |  | 27 | |
| 9681606547 | d/dx (f(x)/g(x)) = |  | 28 | |
| 9681611930 | d/dx (f(g(x))) = |  | 29 | |
| 9681625217 | The formula for the tangent line at x=a is | y-f(a) = f'(a)(x-a) | 30 | |
| 9681646585 | Speed is increasing if | acceleration and velocity are both positive or both negative. | 31 | |
| 9681649313 | Speed is decreasing if | acceleration and velocity have opposite signs. | 32 | |
| 9681661314 | Average rate of change from a to b of f is | (f(a)-f(b))/(a-b) |  | 33 |
| 9681666705 | Average value from a to b of f is | 1/(b-a) (the integral from a to b of f) |  | 34 |
| 9681684210 | Average rate of change of f from a to b given f'(x) is | 1/(b-a) (the integral from a to b of f'(x)) | 35 |