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THE APCALC FLASH CARDS: DERIVATIVES CREATED BY DAN PRODUCES BY GREG PRESENTED BY BEN
Derivative of a function at f at a number a:
F’(a)=lim f(a+h)-f(a) X    a      h
Derivative As the Slope of the Tangent
The tangent line to y=f(x) at (a,f(a)) is the line through (a,f(a)) whose slope is equal to f’(a), the derivative of f at a.
Derivative as a rate of change
The derivative F’(a) is the instantaneous rate of change of y=f(x) with respect to x when x=a
Differentiation
Process of calculating a derivative
Derivative Theorem
If f is differentiable at a, then f is continuous at a

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Derivatives