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January 29, 2015

January 29, 2015

Posted by **Teenie** on Thursday, May 19, 2011 at 6:32pm.

-What is the definition of a derivative?

-What does the derivative of a function tell you (in english) ?

Then I need an example of the power rule, quotient rule, and chain rule.

-What information does the FIRST derivative tell you about a function?

-What information does the SECOND derivative tell you about a function?

- math -
**Anonymous**, Thursday, May 19, 2011 at 7:31pmThe derivative of a function tells you the instantaneous rate of change of the function at every point.

The first derivative tells you the slopes of the function

The second derivative tells you the slope of the slope (aka. the concavity)

First derivative = 0 or undefined => Critical point

Second derivative at critical point positive = > minimum

Second derivative at critical point negative = > maximum

Second derivative at critical point zero = > inflection point (probably)

I google type:

wikipedia Differentiation rules

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