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OpenStudy (anonymous):
what is the first derivative test?
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OpenStudy (anonymous):
taking the first derivative of a function helps you determine critical points and invervals of decrease and increase. if a function f is differentiable, critical points (i.e. cusps, turning points) will happen when f'(x) = 0 or undefined. also if f' > 0 on (a, b) the function is increasing on (a, b) and the opposite is true for f' <0
OpenStudy (anonymous):
okay, what is the second derivative used for concavity?
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