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anonymous
 5 years ago
Find the intervals in which the function is increasing and decreasing. Also, find and classify all the critical points of the function using the First Derivative Test. A(t)=t^55t^4+20t^317
I am having trouble setting the derivative equal to zero. Please help!
anonymous
 5 years ago
Find the intervals in which the function is increasing and decreasing. Also, find and classify all the critical points of the function using the First Derivative Test. A(t)=t^55t^4+20t^317 I am having trouble setting the derivative equal to zero. Please help!

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0increaseing or decreasing is a 2nd derivative test... not a 1st derivative test :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0A' = 5t^4 20t^3 +60t^2 A' = 5t^2(t^2 4t +12) = 0

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.012..6.2 (t6) (t+2) t = 6, 2, and 0 are your crits

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0what were you having issues with?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0slope is a function of the 1st derivative; concavity is a function of the 2nd derivative

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.06 x 2 is 12, not +12

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0hmmm.... you might be right :)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0my eyes were deceiving me... ;)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0if its got imaginary roots, then we probably dont need to both with it.... right? sqrt(16  48) = sqrt(32) no "real" roots for this, go with t=0 as the critical, and it probably an inflection point
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