Rate of change?

originalnosky

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May 31, 2012
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Using the definition of the derivative, calculate the instantaneous rate of change for
(a) the function f(x) = 1/2 x^2-x, and
(b) the function g(x) = x^2 if x<=2...AND
4x-4 if x>2


DO NOT RELY ON THE POWER RULE.

Can anyone point me in the right direction? I see nothing in the txt that resembles this, and I'm getting conflicting information. Is it the difference quotient? Is that the same as the continuous rate of change? Is that the same as a derivative? Thanks...
 
Thank you for the response. That starts to clear it up for me. I did mean that the function in (a) is expressed as:

H8WurW077nB6gAAAABJRU5ErkJggg==
 

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