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Answer to Question #50713 in Calculus for tinn
Question #50713
please provide me some problem, where third derivative or more than is used to find maxima and minima. and please solve one problem like this.
Expert's answer
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Comments
Dear tinn. Thank you for adding information. If the second derivative at point is zero, we take the third derivative at that point. If the third derivative is zero, then take the fourth derivative at point for further research. If the third derivative is not equal to zero, then a point is not maximum or minimum. Only even orders of derivatives define a local maximum and minimum of the function at the point. Answer to question #50714 contains explanation of it.
not for this math , if the third derivative after putting the x value > 0 or less than 0 , we will not find any maxima or minima? is this only for odd ? then why?
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