| phrase | definition |
|---|
| f(x) is concave up | |
| G(x) is decreasing | |
| Displacement on [a,b] | |
| speed decreasing (slowing down) | |
| d(e^u)/dx | |
| f(x) is continuous at point c (a) | |
| f(x) is continuous at point c (b) | |
| f(x) is continuous at point c (c) | |
| (d/dx)(arctanx) = | |
| d(cos(x))/dx = | |
| average rate of change of f(x) when x=a to x=b | |
| f(x) has a relative max | |
| an object stops when | |
| instantaneous rate of change of f(x) at x=a | |
| the (instantaneous) velocity | |
| speed increasing (speeding up) | |
| d(sin(x))/dx | |
| | phrase | definition |
|---|
| (f-'(b))' = | |
| the average velocity on [a,b] | |
| an object moves left (down) | |
| the position | |
| (d/dx)arcsinx | |
| speed | |
| f(x) has a point of inflection | |
| definition of derivative | |
| d(ln u)/dx | |
| acceleration | |
| sin0 | |
| cos(pi/2) | |
| sinx=cosx when x= | |
| ln(1) | |
| lne^x | |
| sin(pi/6) | |
|
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