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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 |