Stuff I should know
Terms : Hide Images
| 5824941450 | Log A + Log B | Log (AB) | 0 | |
| 5824941451 | Log A - Log B | Log (A/B) | 1 | |
| 5824941452 | k Log A | Log (A^k) | 2 | |
| 5824941453 | Point-slope form of a line | y-y1 = m (x-x1) | 3 | |
| 5824941454 | Product rule | d/dx (uv) = uv' + vu' | 4 | |
| 5824941455 | Quotient rule | d/dx (u/v) = (vu'-uv')/(v^2) | 5 | |
| 5824941456 | 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). | 6 | |
| 5824941457 | 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) | 7 | |
| 5867821787 | Approximating binomial powers (1+f)^k | (1+f)^k ≈ 1+kf where f is some function | 8 | |
| 6039920360 | Maximum profit | Marginal revenue (r') = Marginal cost (c') | 9 | |
| 6039922015 | Minimize average cost | Average cost = marginal cost c(x)/x=c'(x) | 10 | |
| 6039931314 | Linearization | L(x) = f'(a)(x - a) + f(a) | 11 | |
| 6039936205 | Definition of differentials | dy = f'(x) dx | 12 | |
| 6039939750 | Absolute change, true | Δf = f(a + Δx) - f(a) | 13 | |
| 6039999167 | Absolute change, estimated | Δf ≈ f'(a) Δx | 14 | |
| 6040004272 | Relative change, true | Δf/f(a) | 15 | |
| 6040007065 | Relative change, estimated | f'(a)/f(a) Δx | 16 | |
| 6040009721 | Percentage change, true | Δf/f(a) X100 | 17 | |
| 6040011750 | Percentage change, estimated | f'(a)/f(a) Δx X100 | 18 | |
| 6040021754 | Newtons Method for approximating zeroes | Coming soon | 19 |
