*  Reading Outline, Sec3.1--\S3.2 *
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* Vocabulary/Definitions *
 - The effect of a constant multiple of a function on its derivative
 - (c f(x))' = 
 - (f(x) + g(x))' = 
 - The power rule: (d/dx)(x^n) = 
 - The derivation of (x^{-2})' = -2 x^{-3} from the limit definition of f'(x)
 - Why (a^x)' must resemble a^x
 - (d/dx)(e^x) = 
 - (d/dx)(a^x) = 


* Understand *
1. Find the derivative of f(x) = 3x^3 - 2 sqrt{x}.


2. If the height of a thrown ball is h(t) = -4.9 t^2 + 25 t + 5, find
its velocity and acceleration.


3. Estimate lim {h->0} (1 + h)^{1/h}.  Does it converge to 
e = 2.718281828?  Explain why or why not.


4. Differentiate g(x) = 4 7^x - 2 x^7.