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AP Calc AB
Basic Derivatives
| Term | Definition |
|---|---|
| Instantaneous Rate of Change(Derivative) | dy/dx |
| Slope at a Point | d/dx |
| Slope of a Tangent Line | Mtan |
| Equation of a Tangent Line | y-y1=Mtan(x-x1) |
| Average Rate of Change Formula(Slope Formula) | Msec=y2-y1/x2-x1 |
| F(x)=y | F'(x)=dy/ dx |
| Any constant | 0 |
| X | 1 |
| 1 x | -x^-2 or -1/ x^2 |
| Sin x | Cosx |
| Cos x | -Sin x |
| Tan x | Sec^2x |
| Cscx | -Csc x Cot x |
| Secx | Secxtanx |
| Cotx | -Csc^2x |
| E^x | E^x |
| lnx(Natural Log) | 1/x |
| Log a^x | 1/ln a x a^x |
| A^x | ln a x a^x |