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# Derivatives

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### Derivatives

1. 1. THE APCALC FLASH CARDS: DERIVATIVES<br />CREATED BY DAN<br />PRODUCES BY GREG<br />PRESENTED BY BEN<br />
2. 2. Derivative of a function at f at a number a:<br />
3. 3. F’(a)=lim f(a+h)-f(a)<br />X a <br />h<br />
4. 4. Derivative As the Slope of the Tangent<br />
5. 5. 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.<br />
6. 6. Derivative as a rate of change<br />
7. 7. The derivative F’(a) is the instantaneous rate of change of y=f(x) with respect to x when x=a<br />
8. 8. Differentiation<br />
9. 9. Process of calculating a derivative<br />
10. 10. Derivative Theorem<br />
11. 11. If f is differentiable at a, then f is continuous at a<br />