SOLVED Definition of Derivative/Alt. form of the derivative

Sep 2010
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My teacher assigned this as a review for the test. This particular question looks like definition of derivative to me:

\(\displaystyle \displaystyle \lim_{h \to 0} \frac{f(x+h)- f(x)}{h}\)

Would that make f(x + h) = sin x
and f(x) = 1/2? I'm very confused on which parts are which.
 
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mr fantastic

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My teacher assigned this as a review for the test. This particular question looks like definition of derivative to me:

\(\displaystyle \displaystyle \lim_{h \to 0} \frac{f(x+h)- f(x)}{h}\)

Would that make f(x + h) = sin x
and f(x) = 1/2? I'm very confused on which parts are which.
f(x) = sin(x) and c = pi/6. Think about it.
 
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