Stuff I should know
9643928541 | d/dx (x^2) | 2x | 0 | |
9643928542 | d/dx (sin x) | cos x | 1 | |
9643928543 | d/dx (cos x) | -sin x | 2 | |
9643928544 | d/dx (tan x) | (sec x)^2 | 3 | |
9643928545 | d/dx (cot x) | -(csc x)^2 | 4 | |
9643928546 | d/dx (sec x) | (sec x)(tan x) | 5 | |
9643928547 | d/dx (csc x) | -(csc x)(cot x) | 6 | |
9643928548 | d/dx (e^x) | e^x | 7 | |
9643928549 | d/dx (ln x) | 1/x | 8 | |
9643928550 | Log A + Log B | Log (AB) | 9 | |
9643928551 | Log A - Log B | Log (A/B) | 10 | |
9643928552 | k Log A | Log (A^k) | 11 | |
9643928553 | Point-slope form of a line | y-y1 = m (x-x1) | 12 | |
9643928554 | Product rule | d/dx (uv) = uv' + vu' | 13 | |
9643928555 | Quotient rule | d/dx (u/v) = (vu'-uv')/(v^2) | 14 | |
9643928556 | 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 | |
9643928557 | 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 | |
9643928560 | d/dx (x^3) | 3x^2 | 17 |