How can I find the critical numbers of this function? [closed]











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How can I find the critical numbers of this function?



$$g(theta) = 24theta − 6 tan(theta)$$










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closed as off-topic by caverac, user302797, Leucippus, Chinnapparaj R, user10354138 Nov 26 at 8:13


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – caverac, user302797, Leucippus, Chinnapparaj R, user10354138

If this question can be reworded to fit the rules in the help center, please edit the question.













  • Can you show us what you have attempted? Or what is interesting about this question? Usually questions posed with the tone "do this homework problem for me" are not well-received.
    – Mason
    Nov 25 at 21:36










  • "critical numbers" is not a precise term, I think you could say "critical values".
    – NoChance
    Nov 25 at 21:43















up vote
-3
down vote

favorite












How can I find the critical numbers of this function?



$$g(theta) = 24theta − 6 tan(theta)$$










share|cite|improve this question















closed as off-topic by caverac, user302797, Leucippus, Chinnapparaj R, user10354138 Nov 26 at 8:13


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – caverac, user302797, Leucippus, Chinnapparaj R, user10354138

If this question can be reworded to fit the rules in the help center, please edit the question.













  • Can you show us what you have attempted? Or what is interesting about this question? Usually questions posed with the tone "do this homework problem for me" are not well-received.
    – Mason
    Nov 25 at 21:36










  • "critical numbers" is not a precise term, I think you could say "critical values".
    – NoChance
    Nov 25 at 21:43













up vote
-3
down vote

favorite









up vote
-3
down vote

favorite











How can I find the critical numbers of this function?



$$g(theta) = 24theta − 6 tan(theta)$$










share|cite|improve this question















How can I find the critical numbers of this function?



$$g(theta) = 24theta − 6 tan(theta)$$







calculus






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share|cite|improve this question













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edited Nov 25 at 21:42









NoChance

3,59621221




3,59621221










asked Nov 25 at 21:31









user597553

133




133




closed as off-topic by caverac, user302797, Leucippus, Chinnapparaj R, user10354138 Nov 26 at 8:13


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – caverac, user302797, Leucippus, Chinnapparaj R, user10354138

If this question can be reworded to fit the rules in the help center, please edit the question.




closed as off-topic by caverac, user302797, Leucippus, Chinnapparaj R, user10354138 Nov 26 at 8:13


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – caverac, user302797, Leucippus, Chinnapparaj R, user10354138

If this question can be reworded to fit the rules in the help center, please edit the question.












  • Can you show us what you have attempted? Or what is interesting about this question? Usually questions posed with the tone "do this homework problem for me" are not well-received.
    – Mason
    Nov 25 at 21:36










  • "critical numbers" is not a precise term, I think you could say "critical values".
    – NoChance
    Nov 25 at 21:43


















  • Can you show us what you have attempted? Or what is interesting about this question? Usually questions posed with the tone "do this homework problem for me" are not well-received.
    – Mason
    Nov 25 at 21:36










  • "critical numbers" is not a precise term, I think you could say "critical values".
    – NoChance
    Nov 25 at 21:43
















Can you show us what you have attempted? Or what is interesting about this question? Usually questions posed with the tone "do this homework problem for me" are not well-received.
– Mason
Nov 25 at 21:36




Can you show us what you have attempted? Or what is interesting about this question? Usually questions posed with the tone "do this homework problem for me" are not well-received.
– Mason
Nov 25 at 21:36












"critical numbers" is not a precise term, I think you could say "critical values".
– NoChance
Nov 25 at 21:43




"critical numbers" is not a precise term, I think you could say "critical values".
– NoChance
Nov 25 at 21:43










1 Answer
1






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Hint: You have $g(theta) = 24theta − 6 tan(theta)$, which implies $$g'(theta) = 24 - 6sec^2(theta) = 0$$ $$implies 24 = 6sec^2(theta)$$ $$implies 4 = {1overcos^2(theta)}$$ $$implies {1over 4} = cos^2(theta)$$ $$implies pm{1over2} = cos(theta).$$ Now, proceed to ask yourself what values of $theta$ will produce this result.






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  • Thank you for your help!
    – user597553
    Nov 26 at 3:16


















1 Answer
1






active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes








up vote
1
down vote













Hint: You have $g(theta) = 24theta − 6 tan(theta)$, which implies $$g'(theta) = 24 - 6sec^2(theta) = 0$$ $$implies 24 = 6sec^2(theta)$$ $$implies 4 = {1overcos^2(theta)}$$ $$implies {1over 4} = cos^2(theta)$$ $$implies pm{1over2} = cos(theta).$$ Now, proceed to ask yourself what values of $theta$ will produce this result.






share|cite|improve this answer





















  • Thank you for your help!
    – user597553
    Nov 26 at 3:16















up vote
1
down vote













Hint: You have $g(theta) = 24theta − 6 tan(theta)$, which implies $$g'(theta) = 24 - 6sec^2(theta) = 0$$ $$implies 24 = 6sec^2(theta)$$ $$implies 4 = {1overcos^2(theta)}$$ $$implies {1over 4} = cos^2(theta)$$ $$implies pm{1over2} = cos(theta).$$ Now, proceed to ask yourself what values of $theta$ will produce this result.






share|cite|improve this answer





















  • Thank you for your help!
    – user597553
    Nov 26 at 3:16













up vote
1
down vote










up vote
1
down vote









Hint: You have $g(theta) = 24theta − 6 tan(theta)$, which implies $$g'(theta) = 24 - 6sec^2(theta) = 0$$ $$implies 24 = 6sec^2(theta)$$ $$implies 4 = {1overcos^2(theta)}$$ $$implies {1over 4} = cos^2(theta)$$ $$implies pm{1over2} = cos(theta).$$ Now, proceed to ask yourself what values of $theta$ will produce this result.






share|cite|improve this answer












Hint: You have $g(theta) = 24theta − 6 tan(theta)$, which implies $$g'(theta) = 24 - 6sec^2(theta) = 0$$ $$implies 24 = 6sec^2(theta)$$ $$implies 4 = {1overcos^2(theta)}$$ $$implies {1over 4} = cos^2(theta)$$ $$implies pm{1over2} = cos(theta).$$ Now, proceed to ask yourself what values of $theta$ will produce this result.







share|cite|improve this answer












share|cite|improve this answer



share|cite|improve this answer










answered Nov 25 at 21:35









Decaf-Math

3,104825




3,104825












  • Thank you for your help!
    – user597553
    Nov 26 at 3:16


















  • Thank you for your help!
    – user597553
    Nov 26 at 3:16
















Thank you for your help!
– user597553
Nov 26 at 3:16




Thank you for your help!
– user597553
Nov 26 at 3:16



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